kilobytes = 135.997212073597 q = 3 m = 7 n = 2017 s = 0 t = 32 u = 64 k = 1569 w = 48 ciphertext = [2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2] recovered_plaintext_using_secret_key = True pubkeycol448 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0] pubkeycol449 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol450 = [2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1] pubkeycol451 = [2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1] pubkeycol452 = [2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol453 = [0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol454 = [0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0] pubkeycol455 = [2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol456 = [1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1] pubkeycol457 = [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0] pubkeycol458 = [1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2] pubkeycol459 = [1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol460 = [2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0] pubkeycol461 = [1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol462 = [1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol463 = [1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1] pubkeycol464 = [2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol465 = [1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1] pubkeycol466 = [0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol467 = [0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol468 = [2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol469 = [2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol470 = [2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol471 = [0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol472 = [0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1] pubkeycol473 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol474 = [2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol475 = [1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol476 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1] pubkeycol477 = [2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol478 = [0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol479 = [1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0] pubkeycol480 = [1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol481 = [1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol482 = [2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol483 = [0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol484 = [2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol485 = [0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol486 = [0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol487 = [1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol488 = [2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol489 = [0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1] pubkeycol490 = [2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol491 = [1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2] pubkeycol492 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2] pubkeycol493 = [1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0] pubkeycol494 = [0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol495 = [2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol496 = [2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol497 = [2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2] pubkeycol498 = [2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol499 = [1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol500 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0] pubkeycol501 = [0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1] pubkeycol502 = [0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol503 = [0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol504 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1] pubkeycol505 = [0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol506 = [2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol507 = [0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0] pubkeycol508 = [0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1] pubkeycol509 = [0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2] pubkeycol510 = [2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol511 = [1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol512 = [1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol513 = [2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol514 = [0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol515 = [1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0] pubkeycol516 = [1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1] pubkeycol517 = [2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1] pubkeycol518 = [1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol519 = [0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2] pubkeycol520 = [2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol521 = [0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol522 = [2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2] pubkeycol523 = [1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2] pubkeycol524 = [1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol525 = [2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2] pubkeycol526 = [1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol527 = [0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2] pubkeycol528 = [2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol529 = [2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2] pubkeycol530 = [2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol531 = [1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol532 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol533 = [2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol534 = [2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2] pubkeycol535 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol536 = [2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0] pubkeycol537 = [0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol538 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol539 = [0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2] pubkeycol540 = [0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol541 = [1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol542 = [0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol543 = [2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol544 = [2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1] pubkeycol545 = [1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0] pubkeycol546 = [0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol547 = [2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol548 = [0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol549 = [0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol550 = [0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol551 = [2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol552 = [0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol553 = [2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol554 = [0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0] pubkeycol555 = [2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol556 = [1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0] pubkeycol557 = [0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol558 = [1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol559 = [2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol560 = [2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0] pubkeycol561 = [1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol562 = [2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol563 = [1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol564 = [2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol565 = [0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol566 = [1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol567 = [2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol568 = [0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol569 = [0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2] pubkeycol570 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol571 = [1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2] pubkeycol572 = [1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol573 = [1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0] pubkeycol574 = [2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol575 = [1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol576 = [1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol577 = [1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol578 = [2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol579 = [0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol580 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol581 = [1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol582 = [0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol583 = [0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1] pubkeycol584 = [0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol585 = [2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0] pubkeycol586 = [0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol587 = [2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0] pubkeycol588 = [0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2] pubkeycol589 = [2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol590 = [2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0] pubkeycol591 = [2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol592 = [1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol593 = [2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1] pubkeycol594 = [0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0] pubkeycol595 = [2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol596 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol597 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol598 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol599 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2] pubkeycol600 = [1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1] pubkeycol601 = [1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol602 = [2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol603 = [2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol604 = [1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol605 = [1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1] pubkeycol606 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2] pubkeycol607 = [2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol608 = [2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol609 = [0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol610 = [2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1] pubkeycol611 = [2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol612 = [0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2] pubkeycol613 = [0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol614 = [0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol615 = [0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol616 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol617 = [0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol618 = [1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol619 = [0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol620 = [0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol621 = [0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol622 = [1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol623 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0] pubkeycol624 = [0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol625 = [0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol626 = [2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0] pubkeycol627 = [2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol628 = [1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol629 = [2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol630 = [1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol631 = [0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol632 = [2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol633 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol634 = [2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol635 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2] pubkeycol636 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0] pubkeycol637 = [2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol638 = [2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1] pubkeycol639 = [0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2] pubkeycol640 = [1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol641 = [2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol642 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol643 = [1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1] pubkeycol644 = [2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol645 = [0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol646 = [0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol647 = [0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol648 = [2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol649 = [0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol650 = [2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2] pubkeycol651 = [1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol652 = [2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol653 = [1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol654 = [2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol655 = [0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol656 = [0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2] pubkeycol657 = [0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1] pubkeycol658 = [0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol659 = [2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1] pubkeycol660 = [0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol661 = [2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol662 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol663 = [0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol664 = [0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1] pubkeycol665 = [1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol666 = [0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol667 = [2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol668 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol669 = [2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0] pubkeycol670 = [1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol671 = [0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol672 = [1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1] pubkeycol673 = [1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol674 = [2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol675 = [2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol676 = [0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol677 = [2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol678 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol679 = [1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol680 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol681 = [0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0] pubkeycol682 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0] pubkeycol683 = [2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol684 = [0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol685 = [1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol686 = [2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol687 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol688 = [2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0] pubkeycol689 = [2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0] pubkeycol690 = [2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1] pubkeycol691 = [1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1] pubkeycol692 = [0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0] pubkeycol693 = [2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol694 = [0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol695 = [1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol696 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0] pubkeycol697 = [2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol698 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1] pubkeycol699 = [2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol700 = [2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol701 = [2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0] pubkeycol702 = [2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol703 = [1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2] pubkeycol704 = [2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1] pubkeycol705 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol706 = [1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0] pubkeycol707 = [0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1] pubkeycol708 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol709 = [1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1] pubkeycol710 = [1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1] pubkeycol711 = [2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol712 = [0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol713 = [1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol714 = [0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0] pubkeycol715 = [0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1] pubkeycol716 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0] pubkeycol717 = [0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol718 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol719 = [2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2] pubkeycol720 = [1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol721 = [2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1] pubkeycol722 = [0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol723 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1] pubkeycol724 = [2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1] pubkeycol725 = [1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol726 = [2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol727 = [2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1] pubkeycol728 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1] pubkeycol729 = [0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1] pubkeycol730 = [1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol731 = [0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol732 = [1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2] pubkeycol733 = [0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol734 = [2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol735 = [2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1] pubkeycol736 = [0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1] pubkeycol737 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2] pubkeycol738 = [0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1] pubkeycol739 = [0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2] pubkeycol740 = [2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0] pubkeycol741 = [0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol742 = [2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol743 = [2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol744 = [0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol745 = [1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0] pubkeycol746 = [1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol747 = [2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2] pubkeycol748 = [2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2] pubkeycol749 = [0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol750 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol751 = [2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol752 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol753 = [2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2] pubkeycol754 = [1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0] pubkeycol755 = [1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol756 = [1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol757 = [1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0] pubkeycol758 = [0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol759 = [2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol760 = [0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol761 = [0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1] pubkeycol762 = [0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2] pubkeycol763 = [0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1] pubkeycol764 = [2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol765 = [1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2] pubkeycol766 = [1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0] pubkeycol767 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol768 = [2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol769 = [2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2] pubkeycol770 = [0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol771 = [2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol772 = [0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol773 = [0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol774 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2] pubkeycol775 = [2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0] pubkeycol776 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0] pubkeycol777 = [0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol778 = [1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol779 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1] pubkeycol780 = [1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0] pubkeycol781 = [2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol782 = [1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1] pubkeycol783 = [1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol784 = [0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol785 = [2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol786 = [1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1] pubkeycol787 = [0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0] pubkeycol788 = [1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol789 = [0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0] pubkeycol790 = [0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol791 = [1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol792 = [2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol793 = [1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0] pubkeycol794 = [1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol795 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol796 = [2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0] pubkeycol797 = [2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol798 = [1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0] pubkeycol799 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2] pubkeycol800 = [0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol801 = [1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol802 = [2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2] pubkeycol803 = [1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol804 = [0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol805 = [2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol806 = [0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1] pubkeycol807 = [1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2] pubkeycol808 = [1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0] pubkeycol809 = [0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0] pubkeycol810 = [2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol811 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol812 = [0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol813 = [1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2] pubkeycol814 = [0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol815 = [2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol816 = [1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol817 = [0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0] pubkeycol818 = [0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1] pubkeycol819 = [2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2] pubkeycol820 = [2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0] pubkeycol821 = [0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0] pubkeycol822 = [0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0] pubkeycol823 = [1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol824 = [2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol825 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2] pubkeycol826 = [1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol827 = [0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0] pubkeycol828 = [2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0] pubkeycol829 = [2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0] pubkeycol830 = [2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol831 = [1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol832 = [0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0] pubkeycol833 = [0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol834 = [1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol835 = [1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol836 = [0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol837 = [2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2] pubkeycol838 = [0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol839 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol840 = [2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol841 = [0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol842 = [2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2] pubkeycol843 = [1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol844 = [2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol845 = [2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0] pubkeycol846 = [2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol847 = [2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol848 = [0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol849 = [2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2] pubkeycol850 = [0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol851 = [2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol852 = [2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol853 = [1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1] pubkeycol854 = [1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol855 = [0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol856 = [2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol857 = [2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0] pubkeycol858 = [2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1] pubkeycol859 = [0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol860 = [2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0] pubkeycol861 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0] pubkeycol862 = [1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol863 = [1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol864 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol865 = [1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0] pubkeycol866 = [2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol867 = [0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1] pubkeycol868 = [0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1] pubkeycol869 = [2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol870 = [0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0] pubkeycol871 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol872 = [2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol873 = [2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol874 = [2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0] pubkeycol875 = [1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0] pubkeycol876 = [0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2] pubkeycol877 = [1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol878 = [1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol879 = [0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol880 = [2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1] pubkeycol881 = [0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1] pubkeycol882 = [1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1] pubkeycol883 = [0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol884 = [2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1] pubkeycol885 = [0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol886 = [1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0] pubkeycol887 = [0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol888 = [1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol889 = [0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol890 = [2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1] pubkeycol891 = [2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol892 = [1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1] pubkeycol893 = [1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol894 = [2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol895 = [0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol896 = [0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0] pubkeycol897 = [1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol898 = [0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1] pubkeycol899 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol900 = [0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1] pubkeycol901 = [1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2] pubkeycol902 = [0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol903 = [0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0] pubkeycol904 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2] pubkeycol905 = [1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol906 = [0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0] pubkeycol907 = [0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol908 = [0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol909 = [1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol910 = [1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2] pubkeycol911 = [1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2] pubkeycol912 = [2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol913 = [1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol914 = [2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol915 = [1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol916 = [1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2] pubkeycol917 = [1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1] pubkeycol918 = [1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol919 = [2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol920 = [2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol921 = [0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2] pubkeycol922 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol923 = [0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0] pubkeycol924 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1] pubkeycol925 = [0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1] pubkeycol926 = [0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol927 = [2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol928 = [1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol929 = [2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2] pubkeycol930 = [2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol931 = [0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0] pubkeycol932 = [1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2] pubkeycol933 = [1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol934 = [1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol935 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol936 = [2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1] pubkeycol937 = [1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol938 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1] pubkeycol939 = [1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol940 = [1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0] pubkeycol941 = [1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1] pubkeycol942 = [2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1] pubkeycol943 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0] pubkeycol944 = [0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol945 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol946 = [2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol947 = [2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol948 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1] pubkeycol949 = [2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0] pubkeycol950 = [1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol951 = [0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol952 = [0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol953 = [0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1] pubkeycol954 = [0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol955 = [0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0] pubkeycol956 = [1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol957 = [0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1] pubkeycol958 = [2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2] pubkeycol959 = [2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2] pubkeycol960 = [1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol961 = [2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1] pubkeycol962 = [0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2] pubkeycol963 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1] pubkeycol964 = [2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2] pubkeycol965 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0] pubkeycol966 = [0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol967 = [0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol968 = [1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1] pubkeycol969 = [1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0] pubkeycol970 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol971 = [1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1] pubkeycol972 = [0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol973 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2] pubkeycol974 = [2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol975 = [0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol976 = [0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol977 = [0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol978 = [2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol979 = [0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1] pubkeycol980 = [2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0] pubkeycol981 = [1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol982 = [2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1] pubkeycol983 = [1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1] pubkeycol984 = [2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1] pubkeycol985 = [0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol986 = [2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol987 = [0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol988 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0] pubkeycol989 = [0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol990 = [1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol991 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2] pubkeycol992 = [1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol993 = [0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol994 = [2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol995 = [2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1] pubkeycol996 = [2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol997 = [2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0] pubkeycol998 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0] pubkeycol999 = [0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol1000 = [0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2] pubkeycol1001 = [1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0] pubkeycol1002 = [1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2] pubkeycol1003 = [2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1004 = [0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1] pubkeycol1005 = [2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol1006 = [1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0] pubkeycol1007 = [0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol1008 = [2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1009 = [2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2] pubkeycol1010 = [2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol1011 = [2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol1012 = [2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1] pubkeycol1013 = [2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol1014 = [2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2] pubkeycol1015 = [2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2] pubkeycol1016 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol1017 = [0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol1018 = [0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol1019 = [0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0] pubkeycol1020 = [1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0] pubkeycol1021 = [2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol1022 = [0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol1023 = [2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol1024 = [2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol1025 = [0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol1026 = [2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0] pubkeycol1027 = [2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2] pubkeycol1028 = [0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol1029 = [0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol1030 = [2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0] pubkeycol1031 = [1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1] pubkeycol1032 = [0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol1033 = [0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1] pubkeycol1034 = [1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol1035 = [0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1] pubkeycol1036 = [0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2] pubkeycol1037 = [0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol1038 = [2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol1039 = [2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol1040 = [0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol1041 = [1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1] pubkeycol1042 = [1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol1043 = [0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol1044 = [2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1] pubkeycol1045 = [1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol1046 = [0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1047 = [0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2] pubkeycol1048 = [0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2] pubkeycol1049 = [2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol1050 = [2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1051 = [0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2] pubkeycol1052 = [2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol1053 = [0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol1054 = [1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2] pubkeycol1055 = [2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2] pubkeycol1056 = [2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol1057 = [0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol1058 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol1059 = [1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol1060 = [1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol1061 = [2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol1062 = [2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2] pubkeycol1063 = [2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2] pubkeycol1064 = [2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol1065 = [1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2] pubkeycol1066 = [2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol1067 = [2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2] pubkeycol1068 = [2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol1069 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol1070 = [0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1] pubkeycol1071 = [1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol1072 = [1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol1073 = [0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol1074 = [0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1075 = [1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1076 = [1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol1077 = [2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol1078 = [2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1079 = [0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol1080 = [2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol1081 = [1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol1082 = [1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2] pubkeycol1083 = [1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol1084 = [1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0] pubkeycol1085 = [1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol1086 = [1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol1087 = [0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0] pubkeycol1088 = [2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol1089 = [1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1090 = [1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol1091 = [2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1] pubkeycol1092 = [0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol1093 = [1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0] pubkeycol1094 = [1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1] pubkeycol1095 = [0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2] pubkeycol1096 = [2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0] pubkeycol1097 = [2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol1098 = [0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1] pubkeycol1099 = [0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol1100 = [1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol1101 = [2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2] pubkeycol1102 = [2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol1103 = [1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol1104 = [0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1] pubkeycol1105 = [2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol1106 = [2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0] pubkeycol1107 = [1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2] pubkeycol1108 = [1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0] pubkeycol1109 = [1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol1110 = [1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0] pubkeycol1111 = [1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2] pubkeycol1112 = [1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1] pubkeycol1113 = [0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0] pubkeycol1114 = [0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol1115 = [1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0] pubkeycol1116 = [0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol1117 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0] pubkeycol1118 = [2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol1119 = [0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol1120 = [1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol1121 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0] pubkeycol1122 = [1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol1123 = [1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2] pubkeycol1124 = [2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol1125 = [1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0] pubkeycol1126 = [1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2] pubkeycol1127 = [0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol1128 = [1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0] pubkeycol1129 = [0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol1130 = [0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1] pubkeycol1131 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol1132 = [0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol1133 = [1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol1134 = [1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0] pubkeycol1135 = [2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1136 = [2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol1137 = [2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol1138 = [1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1] pubkeycol1139 = [2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1140 = [1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol1141 = [0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol1142 = [2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol1143 = [0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1] pubkeycol1144 = [0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1145 = [0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol1146 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2] pubkeycol1147 = [2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2] pubkeycol1148 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol1149 = [1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol1150 = [2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1] pubkeycol1151 = [0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol1152 = [0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2] pubkeycol1153 = [2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1154 = [0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0] pubkeycol1155 = [0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2] pubkeycol1156 = [2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2] pubkeycol1157 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0] pubkeycol1158 = [2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol1159 = [2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol1160 = [1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol1161 = [1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0] pubkeycol1162 = [1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0] pubkeycol1163 = [2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol1164 = [0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol1165 = [2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0] pubkeycol1166 = [1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol1167 = [1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol1168 = [0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol1169 = [2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol1170 = [2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol1171 = [0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol1172 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1] pubkeycol1173 = [0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2] pubkeycol1174 = [2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1] pubkeycol1175 = [0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol1176 = [0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1177 = [1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2] pubkeycol1178 = [2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0] pubkeycol1179 = [2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2] pubkeycol1180 = [1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0] pubkeycol1181 = [0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0] pubkeycol1182 = [0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol1183 = [2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol1184 = [2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1] pubkeycol1185 = [1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2] pubkeycol1186 = [0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol1187 = [1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2] pubkeycol1188 = [0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2] pubkeycol1189 = [0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol1190 = [0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol1191 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1] pubkeycol1192 = [2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1193 = [2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol1194 = [0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0] pubkeycol1195 = [2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2] pubkeycol1196 = [0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1] pubkeycol1197 = [0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol1198 = [2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1199 = [1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2] pubkeycol1200 = [0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol1201 = [0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2] pubkeycol1202 = [0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1203 = [1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol1204 = [0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0] pubkeycol1205 = [0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol1206 = [2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1] pubkeycol1207 = [2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2] pubkeycol1208 = [1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol1209 = [2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0] pubkeycol1210 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2] pubkeycol1211 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol1212 = [0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0] pubkeycol1213 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1214 = [2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol1215 = [2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0] pubkeycol1216 = [0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol1217 = [0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2,