kilobytes = 127.936191855086 q = 3 m = 7 n = 1816 s = 0 t = 36 u = 72 k = 1312 w = 54 ciphertext = [1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol504 = [2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1] pubkeycol505 = [2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol506 = [1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol507 = [2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol508 = [2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol509 = [0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol510 = [0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1] pubkeycol511 = [1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol512 = [1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1] pubkeycol513 = [1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0] pubkeycol514 = [2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol515 = [1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol516 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol517 = [2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol518 = [0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2] pubkeycol519 = [2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol520 = [1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol521 = [2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol522 = [1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol523 = [1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1] pubkeycol524 = [2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1] pubkeycol525 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol526 = [1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol527 = [1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1] pubkeycol528 = [1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol529 = [2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol530 = [0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol531 = [0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol532 = [1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1] pubkeycol533 = [1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0] pubkeycol534 = [0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol535 = [0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol536 = [1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol537 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol538 = [0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0] pubkeycol539 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol540 = [0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0] pubkeycol541 = [2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2] pubkeycol542 = [2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1] pubkeycol543 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0] pubkeycol544 = [1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0] pubkeycol545 = [2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0] pubkeycol546 = [0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol547 = [2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol548 = [0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0] pubkeycol549 = [0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0] pubkeycol550 = [0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1] pubkeycol551 = [1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol552 = [1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2] pubkeycol553 = [1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol554 = [1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol555 = [0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1] pubkeycol556 = [1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0] pubkeycol557 = [2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol558 = [2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol559 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol560 = [1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol561 = [2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol562 = [1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0] pubkeycol563 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol564 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2] pubkeycol565 = [0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol566 = [1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol567 = [2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1] pubkeycol568 = [2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1] pubkeycol569 = [0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0] pubkeycol570 = [1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol571 = [0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol572 = [0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol573 = [0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol574 = [0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol575 = [0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol576 = [0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2] pubkeycol577 = [2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol578 = [2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol579 = [2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1] pubkeycol580 = [0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol581 = [0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2] pubkeycol582 = [2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol583 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1] pubkeycol584 = [0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2] pubkeycol585 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0] pubkeycol586 = [1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2] pubkeycol587 = [0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol588 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol589 = [0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol590 = [1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol591 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol592 = [0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol593 = [0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0] pubkeycol594 = [0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1] pubkeycol595 = [2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol596 = [1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol597 = [0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol598 = [2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol599 = [1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0] pubkeycol600 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0] pubkeycol601 = [0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1] pubkeycol602 = [2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol603 = [2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1] pubkeycol604 = [0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0] pubkeycol605 = [2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol606 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0] pubkeycol607 = [0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol608 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1] pubkeycol609 = [1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol610 = [2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol611 = [0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol612 = [1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1] pubkeycol613 = [2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol614 = [0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2] pubkeycol615 = [0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol616 = [1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol617 = [2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol618 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol619 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2] pubkeycol620 = [1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol621 = [1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol622 = [1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0] pubkeycol623 = [1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2] pubkeycol624 = [0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1] pubkeycol625 = [0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0] pubkeycol626 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol627 = [2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol628 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol629 = [2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol630 = [0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol631 = [1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol632 = [0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol633 = [1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol634 = [1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0] pubkeycol635 = [0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol636 = [2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0] pubkeycol637 = [1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol638 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol639 = [2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0] pubkeycol640 = [1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol641 = [0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2] pubkeycol642 = [2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol643 = [1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol644 = [2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0] pubkeycol645 = [1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol646 = [2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol647 = [1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol648 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1] pubkeycol649 = [2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2] pubkeycol650 = [1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2] pubkeycol651 = [2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0] pubkeycol652 = [1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol653 = [2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol654 = [0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0] pubkeycol655 = [1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol656 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2] pubkeycol657 = [1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol658 = [0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol659 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1] pubkeycol660 = [2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol661 = [1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol662 = [0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0] pubkeycol663 = [1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0] pubkeycol664 = [0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol665 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2] pubkeycol666 = [1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1] pubkeycol667 = [1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol668 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol669 = [1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol670 = [0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol671 = [2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol672 = [1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol673 = [1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0] pubkeycol674 = [0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol675 = [0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol676 = [0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol677 = [1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol678 = [0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2] pubkeycol679 = [0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol680 = [0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol681 = [0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol682 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol683 = [2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol684 = [1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2] pubkeycol685 = [1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol686 = [1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol687 = [1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol688 = [1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol689 = [1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol690 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol691 = [1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2] pubkeycol692 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol693 = [2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol694 = [1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol695 = [2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol696 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol697 = [2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol698 = [1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0] pubkeycol699 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol700 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol701 = [0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0] pubkeycol702 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol703 = [1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol704 = [0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol705 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol706 = [1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol707 = [0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0] pubkeycol708 = [0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol709 = [0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1] pubkeycol710 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2] pubkeycol711 = [2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol712 = [0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol713 = [0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol714 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol715 = [0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol716 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol717 = [0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol718 = [1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol719 = [0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol720 = [1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol721 = [1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol722 = [0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol723 = [2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol724 = [1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol725 = [1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol726 = [2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol727 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0] pubkeycol728 = [1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol729 = [0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol730 = [0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0] pubkeycol731 = [1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol732 = [2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol733 = [1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol734 = [2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol735 = [0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol736 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2] pubkeycol737 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol738 = [0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0] pubkeycol739 = [0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol740 = [0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol741 = [0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol742 = [2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol743 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2] pubkeycol744 = [0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0] pubkeycol745 = [2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1] pubkeycol746 = [0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol747 = [2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol748 = [0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol749 = [1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2] pubkeycol750 = [1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol751 = [2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol752 = [2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol753 = [2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2] pubkeycol754 = [1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol755 = [0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0] pubkeycol756 = [2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol757 = [2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0] pubkeycol758 = [0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2] pubkeycol759 = [2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol760 = [2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2] pubkeycol761 = [0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol762 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2] pubkeycol763 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol764 = [0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol765 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0] pubkeycol766 = [2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1] pubkeycol767 = [2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0] pubkeycol768 = [0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1] pubkeycol769 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2] pubkeycol770 = [2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2] pubkeycol771 = [2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol772 = [1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol773 = [0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2] pubkeycol774 = [0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol775 = [0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol776 = [0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol777 = [2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol778 = [0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2] pubkeycol779 = [0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol780 = [2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1] pubkeycol781 = [2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1] pubkeycol782 = [2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol783 = [0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol784 = [1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol785 = [1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol786 = [2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol787 = [2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2] pubkeycol788 = [2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2] pubkeycol789 = [1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol790 = [2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2] pubkeycol791 = [1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol792 = [2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2] pubkeycol793 = [2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol794 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol795 = [0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol796 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol797 = [0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol798 = [1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol799 = [0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol800 = [0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol801 = [0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol802 = [1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol803 = [0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol804 = [0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol805 = [0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol806 = [0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol807 = [0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol808 = [0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1] pubkeycol809 = [0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol810 = [0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol811 = [2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol812 = [0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol813 = [1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0] pubkeycol814 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol815 = [2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol816 = [1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol817 = [1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1] pubkeycol818 = [1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1] pubkeycol819 = [1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1] pubkeycol820 = [0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol821 = [0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol822 = [0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2] pubkeycol823 = [2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol824 = [0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol825 = [1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol826 = [0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol827 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol828 = [1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0] pubkeycol829 = [0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol830 = [1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol831 = [1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol832 = [0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol833 = [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol834 = [1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol835 = [2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol836 = [1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol837 = [2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol838 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol839 = [2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1] pubkeycol840 = [0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol841 = [2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol842 = [0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2] pubkeycol843 = [2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol844 = [0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0] pubkeycol845 = [1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol846 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1] pubkeycol847 = [1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0] pubkeycol848 = [2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol849 = [0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2] pubkeycol850 = [0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol851 = [0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2] pubkeycol852 = [2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol853 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol854 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1] pubkeycol855 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol856 = [2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol857 = [1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol858 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1] pubkeycol859 = [1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2] pubkeycol860 = [0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2] pubkeycol861 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol862 = [1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol863 = [2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol864 = [0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol865 = [2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0] pubkeycol866 = [2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1] pubkeycol867 = [2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2] pubkeycol868 = [2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol869 = [0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol870 = [1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2] pubkeycol871 = [2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol872 = [2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol873 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1] pubkeycol874 = [0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1] pubkeycol875 = [0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol876 = [0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol877 = [1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol878 = [0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol879 = [1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0] pubkeycol880 = [0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2] pubkeycol881 = [2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol882 = [0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol883 = [0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2] pubkeycol884 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol885 = [2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol886 = [0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol887 = [2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol888 = [2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2] pubkeycol889 = [2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0] pubkeycol890 = [0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0] pubkeycol891 = [1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol892 = [1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol893 = [0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2] pubkeycol894 = [1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol895 = [1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol896 = [1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0] pubkeycol897 = [1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2] pubkeycol898 = [1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol899 = [2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1] pubkeycol900 = [2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1] pubkeycol901 = [1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol902 = [2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol903 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol904 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol905 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol906 = [1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol907 = [0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol908 = [2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0] pubkeycol909 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol910 = [2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0] pubkeycol911 = [2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0] pubkeycol912 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol913 = [0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol914 = [1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol915 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol916 = [2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol917 = [0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0] pubkeycol918 = [2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol919 = [1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol920 = [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1] pubkeycol921 = [1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0] pubkeycol922 = [2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol923 = [1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol924 = [1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol925 = [1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol926 = [0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol927 = [0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2] pubkeycol928 = [1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol929 = [1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol930 = [2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1] pubkeycol931 = [1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol932 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol933 = [1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1] pubkeycol934 = [1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol935 = [0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2] pubkeycol936 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2] pubkeycol937 = [0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol938 = [1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1] pubkeycol939 = [1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0] pubkeycol940 = [2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1] pubkeycol941 = [1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1] pubkeycol942 = [2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0] pubkeycol943 = [0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol944 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol945 = [0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol946 = [0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2] pubkeycol947 = [0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol948 = [2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol949 = [0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1] pubkeycol950 = [2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0] pubkeycol951 = [1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol952 = [2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol953 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol954 = [0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0] pubkeycol955 = [2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol956 = [1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol957 = [1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0] pubkeycol958 = [0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol959 = [1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol960 = [0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0] pubkeycol961 = [1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2] pubkeycol962 = [1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1] pubkeycol963 = [2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0] pubkeycol964 = [1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol965 = [2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol966 = [1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol967 = [0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol968 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol969 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0] pubkeycol970 = [2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1] pubkeycol971 = [2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol972 = [0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol973 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol974 = [1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol975 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol976 = [2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol977 = [0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol978 = [0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol979 = [1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol980 = [0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol981 = [1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2] pubkeycol982 = [2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol983 = [1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol984 = [2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol985 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol986 = [0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0] pubkeycol987 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0] pubkeycol988 = [2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0] pubkeycol989 = [0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol990 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol991 = [1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0] pubkeycol992 = [0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1] pubkeycol993 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2] pubkeycol994 = [2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1] pubkeycol995 = [2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol996 = [1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol997 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1] pubkeycol998 = [1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2] pubkeycol999 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol1000 = [2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol1001 = [2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2] pubkeycol1002 = [1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol1003 = [0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2] pubkeycol1004 = [0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0] pubkeycol1005 = [0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0] pubkeycol1006 = [0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol1007 = [2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0] pubkeycol1008 = [1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1] pubkeycol1009 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol1010 = [2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol1011 = [0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol1012 = [2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol1013 = [0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol1014 = [2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol1015 = [2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol1016 = [2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2] pubkeycol1017 = [2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2] pubkeycol1018 = [0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2] pubkeycol1019 = [2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol1020 = [1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2] pubkeycol1021 = [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol1022 = [2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol1023 = [2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1] pubkeycol1024 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0] pubkeycol1025 = [2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2] pubkeycol1026 = [0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol1027 = [1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1] pubkeycol1028 = [2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1] pubkeycol1029 = [2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1030 = [0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol1031 = [0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1032 = [2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1033 = [0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1034 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol1035 = [1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1] pubkeycol1036 = [0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol1037 = [0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol1038 = [1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol1039 = [0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol1040 = [2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol1041 = [2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2] pubkeycol1042 = [1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol1043 = [1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0] pubkeycol1044 = [1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2] pubkeycol1045 = [2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol1046 = [0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol1047 = [2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2] pubkeycol1048 = [0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol1049 = [1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol1050 = [0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1] pubkeycol1051 = [1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol1052 = [0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol1053 = [0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1] pubkeycol1054 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol1055 = [0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol1056 = [1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol1057 = [2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol1058 = [2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol1059 = [0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol1060 = [2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2] pubkeycol1061 = [2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol1062 = [0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol1063 = [0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol1064 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol1065 = [1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol1066 = [0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol1067 = [0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol1068 = [0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2] pubkeycol1069 = [1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol1070 = [0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol1071 = [1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1072 = [0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2] pubkeycol1073 = [0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2] pubkeycol1074 = [2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol1075 = [2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1] pubkeycol1076 = [1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2] pubkeycol1077 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1] pubkeycol1078 = [2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol1079 = [1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol1080 = [0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1081 = [1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol1082 = [1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol1083 = [1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol1084 = [2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1085 = [0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol1086 = [1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol1087 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol1088 = [1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol1089 = [1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol1090 = [0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1] pubkeycol1091 = [1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol1092 = [0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol1093 = [0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol1094 = [1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2] pubkeycol1095 = [1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0] pubkeycol1096 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1] pubkeycol1097 = [2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol1098 = [2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0] pubkeycol1099 = [1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2] pubkeycol1100 = [1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol1101 = [2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol1102 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol1103 = [2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2] pubkeycol1104 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2] pubkeycol1105 = [0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2] pubkeycol1106 = [1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol1107 = [0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol1108 = [1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol1109 = [2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2] pubkeycol1110 = [0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0] pubkeycol1111 = [1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol1112 = [1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol1113 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol1114 = [1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0] pubkeycol1115 = [0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1] pubkeycol1116 = [2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol1117 = [1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol1118 = [2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol1119 = [0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2] pubkeycol1120 = [1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol1121 = [1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2] pubkeycol1122 = [1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol1123 = [0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol1124 = [0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol1125 = [0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol1126 = [1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol1127 = [0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1] pubkeycol1128 = [2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0] pubkeycol1129 = [0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol1130 = [1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol1131 = [0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2] pubkeycol1132 = [1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol1133 = [0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol1134 = [2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol1135 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1] pubkeycol1136 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol1137 = [0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol1138 = [2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2] pubkeycol1139 = [0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2] pubkeycol1140 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1] pubkeycol1141 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol1142 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0] pubkeycol1143 = [0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0] pubkeycol1144 = [0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol1145 = [0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol1146 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1147 = [1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0] pubkeycol1148 = [0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol1149 = [1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol1150 = [1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol1151 = [2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol1152 = [2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1] pubkeycol1153 = [2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2] pubkeycol1154 = [1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1155 = [2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1] pubkeycol1156 = [0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol1157 = [0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol1158 = [1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1] pubkeycol1159 = [0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol1160 = [0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0] pubkeycol1161 = [0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol1162 = [1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol1163 = [0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol1164 = [0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol1165 = [2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol1166 = [2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol1167 = [1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1] pubkeycol1168 = [2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2] pubkeycol1169 = [1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol1170 = [0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol1171 = [1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1] pubkeycol1172 = [2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol1173 = [0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol1174 = [0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol1175 = [1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol1176 = [1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0] pubkeycol1177 = [2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol1178 = [2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1179 = [2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol1180 = [1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2] pubkeycol1181 = [2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol1182 = [0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1183 = [1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0] pubkeycol1184 = [2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1185 = [0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2] pubkeycol1186 = [2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2] pubkeycol1187 = [1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1188 = [1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol1189 = [2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1