kilobytes = 123.949020564209 q = 3 m = 7 n = 1878 s = 0 t = 32 u = 64 k = 1430 w = 48 ciphertext = [0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol448 = [0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol449 = [0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol450 = [2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol451 = [1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol452 = [1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol453 = [1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1] pubkeycol454 = [1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol455 = [1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0] pubkeycol456 = [1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0] pubkeycol457 = [0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol458 = [1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2] pubkeycol459 = [1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0] pubkeycol460 = [1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol461 = [0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol462 = [1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol463 = [1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2] pubkeycol464 = [0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1] pubkeycol465 = [0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol466 = [1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol467 = [0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2] pubkeycol468 = [1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0] pubkeycol469 = [1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol470 = [1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2] pubkeycol471 = [0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0] pubkeycol472 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol473 = [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol474 = [0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol475 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0] pubkeycol476 = [0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2] pubkeycol477 = [1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol478 = [2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol479 = [2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2] pubkeycol480 = [1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol481 = [2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol482 = [2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2] pubkeycol483 = [0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1] pubkeycol484 = [1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0] pubkeycol485 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol486 = [0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2] pubkeycol487 = [2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0] pubkeycol488 = [2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol489 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2] pubkeycol490 = [2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol491 = [1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0] pubkeycol492 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol493 = [2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1] pubkeycol494 = [0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol495 = [2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol496 = [0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1] pubkeycol497 = [2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol498 = [2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol499 = [1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1] pubkeycol500 = [1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1] pubkeycol501 = [0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0] pubkeycol502 = [1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol503 = [2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0] pubkeycol504 = [2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1] pubkeycol505 = [0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2] pubkeycol506 = [1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol507 = [1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol508 = [0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol509 = [1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0] pubkeycol510 = [0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol511 = [1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2] pubkeycol512 = [2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1] pubkeycol513 = [0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol514 = [2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol515 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol516 = [2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1] pubkeycol517 = [2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0] pubkeycol518 = [0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2] pubkeycol519 = [2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol520 = [0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol521 = [0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol522 = [0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1] pubkeycol523 = [2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol524 = [0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol525 = [0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol526 = [0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0] pubkeycol527 = [1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1] pubkeycol528 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol529 = [2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0] pubkeycol530 = [2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol531 = [2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0] pubkeycol532 = [1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2] pubkeycol533 = [0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol534 = [0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0] pubkeycol535 = [0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2] pubkeycol536 = [1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol537 = [0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol538 = [2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol539 = [2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol540 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0] pubkeycol541 = [0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol542 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2] pubkeycol543 = [0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol544 = [1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol545 = [1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol546 = [2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol547 = [0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2] pubkeycol548 = [0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol549 = [0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0] pubkeycol550 = [1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2] pubkeycol551 = [0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol552 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1] pubkeycol553 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol554 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol555 = [1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0] pubkeycol556 = [1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol557 = [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol558 = [0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0] pubkeycol559 = [2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol560 = [0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol561 = [1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0] pubkeycol562 = [2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1] pubkeycol563 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1] pubkeycol564 = [2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1] pubkeycol565 = [1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1] pubkeycol566 = [0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0] pubkeycol567 = [0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol568 = [2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol569 = [1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol570 = [1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol571 = [1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol572 = [1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1] pubkeycol573 = [0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1] pubkeycol574 = [0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0] pubkeycol575 = [1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0] pubkeycol576 = [1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1] pubkeycol577 = [1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2] pubkeycol578 = [0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1] pubkeycol579 = [0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol580 = [1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol581 = [0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol582 = [2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2] pubkeycol583 = [2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol584 = [0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1] pubkeycol585 = [0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1] pubkeycol586 = [1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2] pubkeycol587 = [2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol588 = [0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1] pubkeycol589 = [2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol590 = [2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol591 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol592 = [2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0] pubkeycol593 = [1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol594 = [1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2] pubkeycol595 = [1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1] pubkeycol596 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol597 = [2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol598 = [2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0] pubkeycol599 = [2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol600 = [2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1] pubkeycol601 = [2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0] pubkeycol602 = [1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1] pubkeycol603 = [2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol604 = [1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2] pubkeycol605 = [1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2] pubkeycol606 = [2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol607 = [0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2] pubkeycol608 = [2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol609 = [0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol610 = [2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1] pubkeycol611 = [2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1] pubkeycol612 = [0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol613 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1] pubkeycol614 = [2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol615 = [0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0] pubkeycol616 = [2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol617 = [2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol618 = [1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2] pubkeycol619 = [0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0] pubkeycol620 = [2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol621 = [2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2] pubkeycol622 = [2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol623 = [0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol624 = [2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0] pubkeycol625 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol626 = [0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2] pubkeycol627 = [1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1] pubkeycol628 = [2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol629 = [0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol630 = [1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol631 = [2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol632 = [0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2] pubkeycol633 = [0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol634 = [0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol635 = [0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol636 = [2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol637 = [1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1] pubkeycol638 = [2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol639 = [2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0] pubkeycol640 = [0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2] pubkeycol641 = [2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol642 = [1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2] pubkeycol643 = [0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol644 = [1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol645 = [1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol646 = [0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0] pubkeycol647 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol648 = [2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol649 = [2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol650 = [1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol651 = [2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol652 = [0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol653 = [2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol654 = [0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol655 = [2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol656 = [0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol657 = [2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol658 = [1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2] pubkeycol659 = [0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0] pubkeycol660 = [1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol661 = [0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0] pubkeycol662 = [0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0] pubkeycol663 = [1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol664 = [1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2] pubkeycol665 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol666 = [2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol667 = [2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol668 = [2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol669 = [0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1] pubkeycol670 = [2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol671 = [1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol672 = [0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol673 = [2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol674 = [1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol675 = [0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol676 = [2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol677 = [2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0] pubkeycol678 = [2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol679 = [1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2] pubkeycol680 = [2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol681 = [1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0] pubkeycol682 = [2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol683 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol684 = [1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1] pubkeycol685 = [2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol686 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1] pubkeycol687 = [0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2] pubkeycol688 = [2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol689 = [0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol690 = [2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0] pubkeycol691 = [2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1] pubkeycol692 = [1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2] pubkeycol693 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol694 = [2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol695 = [0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1] pubkeycol696 = [1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2] pubkeycol697 = [1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1] pubkeycol698 = [1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol699 = [0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol700 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol701 = [1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2] pubkeycol702 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2] pubkeycol703 = [2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2] pubkeycol704 = [0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol705 = [0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1] pubkeycol706 = [0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol707 = [1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol708 = [0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol709 = [1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol710 = [1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2] pubkeycol711 = [2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0] pubkeycol712 = [2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2] pubkeycol713 = [0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol714 = [0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0] pubkeycol715 = [2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol716 = [1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol717 = [1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol718 = [1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1] pubkeycol719 = [2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol720 = [2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol721 = [1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol722 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0] pubkeycol723 = [2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol724 = [2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol725 = [1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol726 = [2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol727 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2] pubkeycol728 = [2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol729 = [2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol730 = [1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol731 = [1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0] pubkeycol732 = [1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol733 = [0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1] pubkeycol734 = [0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol735 = [2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2] pubkeycol736 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol737 = [1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0] pubkeycol738 = [1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol739 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol740 = [0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol741 = [0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0] pubkeycol742 = [1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol743 = [0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol744 = [0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1] pubkeycol745 = [0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol746 = [0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0] pubkeycol747 = [1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol748 = [1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol749 = [1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0] pubkeycol750 = [2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1] pubkeycol751 = [2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol752 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0] pubkeycol753 = [2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol754 = [2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2] pubkeycol755 = [2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol756 = [2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0] pubkeycol757 = [1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol758 = [2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol759 = [2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol760 = [0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol761 = [1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol762 = [0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2] pubkeycol763 = [0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1] pubkeycol764 = [2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol765 = [0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol766 = [0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol767 = [2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol768 = [1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol769 = [2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2] pubkeycol770 = [2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol771 = [2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol772 = [0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2] pubkeycol773 = [0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol774 = [2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol775 = [1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0] pubkeycol776 = [0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol777 = [1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0] pubkeycol778 = [2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol779 = [1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0] pubkeycol780 = [2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol781 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol782 = [0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol783 = [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol784 = [2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol785 = [1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1] pubkeycol786 = [0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol787 = [1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1] pubkeycol788 = [1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol789 = [2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol790 = [0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol791 = [2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol792 = [2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol793 = [0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1] pubkeycol794 = [2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol795 = [1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0] pubkeycol796 = [1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol797 = [0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol798 = [2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol799 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol800 = [1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol801 = [1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2] pubkeycol802 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2] pubkeycol803 = [1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol804 = [0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1] pubkeycol805 = [0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol806 = [1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2] pubkeycol807 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2] pubkeycol808 = [2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol809 = [1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol810 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol811 = [0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1] pubkeycol812 = [1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0] pubkeycol813 = [0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1] pubkeycol814 = [1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol815 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2] pubkeycol816 = [1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0] pubkeycol817 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol818 = [0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol819 = [2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol820 = [0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol821 = [0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2] pubkeycol822 = [0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1] pubkeycol823 = [0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0] pubkeycol824 = [2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol825 = [1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2] pubkeycol826 = [1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0] pubkeycol827 = [2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2] pubkeycol828 = [2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol829 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1] pubkeycol830 = [2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0] pubkeycol831 = [2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol832 = [0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol833 = [1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol834 = [1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1] pubkeycol835 = [2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol836 = [2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol837 = [0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0] pubkeycol838 = [2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol839 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol840 = [0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2] pubkeycol841 = [0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0] pubkeycol842 = [0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2] pubkeycol843 = [2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol844 = [0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1] pubkeycol845 = [2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol846 = [2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0] pubkeycol847 = [2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol848 = [2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol849 = [0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol850 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol851 = [1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol852 = [0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol853 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol854 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2] pubkeycol855 = [1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol856 = [2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol857 = [0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol858 = [1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2] pubkeycol859 = [0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol860 = [1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2] pubkeycol861 = [0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol862 = [1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol863 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol864 = [0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol865 = [1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0] pubkeycol866 = [0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2] pubkeycol867 = [1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0] pubkeycol868 = [0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2] pubkeycol869 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol870 = [1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1] pubkeycol871 = [0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1] pubkeycol872 = [2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol873 = [2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0] pubkeycol874 = [0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol875 = [1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol876 = [1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol877 = [1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol878 = [0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2] pubkeycol879 = [1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2] pubkeycol880 = [2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol881 = [2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol882 = [0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol883 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0] pubkeycol884 = [0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0] pubkeycol885 = [2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1] pubkeycol886 = [0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0] pubkeycol887 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol888 = [0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol889 = [1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0] pubkeycol890 = [0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol891 = [1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol892 = [0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1] pubkeycol893 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0] pubkeycol894 = [1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1] pubkeycol895 = [2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol896 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol897 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0] pubkeycol898 = [2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol899 = [1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0] pubkeycol900 = [2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol901 = [2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol902 = [2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2] pubkeycol903 = [0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0] pubkeycol904 = [0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol905 = [1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol906 = [0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1] pubkeycol907 = [2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1] pubkeycol908 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1] pubkeycol909 = [2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol910 = [1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1] pubkeycol911 = [2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol912 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol913 = [0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1] pubkeycol914 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0] pubkeycol915 = [0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol916 = [0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol917 = [1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2] pubkeycol918 = [2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol919 = [0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1] pubkeycol920 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol921 = [1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol922 = [2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1] pubkeycol923 = [2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0] pubkeycol924 = [0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol925 = [2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol926 = [2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol927 = [2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0] pubkeycol928 = [1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2] pubkeycol929 = [1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol930 = [0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1] pubkeycol931 = [0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0] pubkeycol932 = [2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol933 = [2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1] pubkeycol934 = [2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol935 = [2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol936 = [1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol937 = [0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol938 = [0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol939 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0] pubkeycol940 = [2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1] pubkeycol941 = [0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2] pubkeycol942 = [2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1] pubkeycol943 = [2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol944 = [0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol945 = [1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol946 = [2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol947 = [1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol948 = [1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0] pubkeycol949 = [0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol950 = [2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol951 = [1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1] pubkeycol952 = [1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0] pubkeycol953 = [1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2] pubkeycol954 = [1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol955 = [1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol956 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol957 = [0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol958 = [1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol959 = [1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol960 = [2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2] pubkeycol961 = [1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0] pubkeycol962 = [0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol963 = [1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol964 = [0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1] pubkeycol965 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol966 = [0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol967 = [2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0] pubkeycol968 = [1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol969 = [1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol970 = [2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol971 = [0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1] pubkeycol972 = [1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol973 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2] pubkeycol974 = [2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol975 = [2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1] pubkeycol976 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol977 = [1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0] pubkeycol978 = [2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0] pubkeycol979 = [1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2] pubkeycol980 = [0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol981 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1] pubkeycol982 = [1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2] pubkeycol983 = [2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2] pubkeycol984 = [0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2] pubkeycol985 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol986 = [0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol987 = [1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0] pubkeycol988 = [1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2] pubkeycol989 = [2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1] pubkeycol990 = [2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol991 = [1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol992 = [2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2] pubkeycol993 = [2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol994 = [2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1] pubkeycol995 = [1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol996 = [0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2] pubkeycol997 = [1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1] pubkeycol998 = [1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1] pubkeycol999 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1] pubkeycol1000 = [2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1001 = [2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2] pubkeycol1002 = [1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol1003 = [2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1] pubkeycol1004 = [1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol1005 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol1006 = [1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol1007 = [1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1008 = [2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1] pubkeycol1009 = [0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol1010 = [0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1011 = [1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol1012 = [1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0] pubkeycol1013 = [1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol1014 = [0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2] pubkeycol1015 = [1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1] pubkeycol1016 = [0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol1017 = [2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0] pubkeycol1018 = [1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol1019 = [0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0] pubkeycol1020 = [0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1] pubkeycol1021 = [2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol1022 = [1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1] pubkeycol1023 = [1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol1024 = [1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol1025 = [1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1] pubkeycol1026 = [1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol1027 = [1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2] pubkeycol1028 = [1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol1029 = [2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol1030 = [1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1] pubkeycol1031 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2] pubkeycol1032 = [0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol1033 = [2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol1034 = [1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol1035 = [0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2] pubkeycol1036 = [2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2] pubkeycol1037 = [2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol1038 = [0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] pubkeycol1039 = [2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol1040 = [0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol1041 = [0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol1042 = [0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol1043 = [1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1] pubkeycol1044 = [2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0] pubkeycol1045 = [1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol1046 = [2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol1047 = [1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1] pubkeycol1048 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1] pubkeycol1049 = [1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol1050 = [1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0] pubkeycol1051 = [1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol1052 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol1053 = [2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2] pubkeycol1054 = [1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol1055 = [1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1] pubkeycol1056 = [2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2] pubkeycol1057 = [0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1] pubkeycol1058 = [0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1059 = [0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol1060 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1061 = [2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol1062 = [2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol1063 = [1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol1064 = [0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2] pubkeycol1065 = [2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol1066 = [2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2] pubkeycol1067 = [0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol1068 = [0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol1069 = [2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0] pubkeycol1070 = [0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1071 = [2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0] pubkeycol1072 = [2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol1073 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol1074 = [2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1] pubkeycol1075 = [1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2] pubkeycol1076 = [2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2] pubkeycol1077 = [1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol1078 = [1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2] pubkeycol1079 = [0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1] pubkeycol1080 = [0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0] pubkeycol1081 = [0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0] pubkeycol1082 = [1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol1083 = [2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0] pubkeycol1084 = [1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1] pubkeycol1085 = [1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1] pubkeycol1086 = [2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1] pubkeycol1087 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2] pubkeycol1088 = [1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1] pubkeycol1089 = [1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol1090 = [1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol1091 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1092 = [0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1] pubkeycol1093 = [0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1] pubkeycol1094 = [2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol1095 = [2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0] pubkeycol1096 = [2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol1097 = [0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0] pubkeycol1098 = [1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1] pubkeycol1099 = [2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol1100 = [0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2] pubkeycol1101 = [2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol1102 = [1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol1103 = [0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol1104 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1] pubkeycol1105 = [1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1] pubkeycol1106 = [1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2] pubkeycol1107 = [1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol1108 = [2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1] pubkeycol1109 = [2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol1110 = [0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2] pubkeycol1111 = [0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol1112 = [1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2] pubkeycol1113 = [0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol1114 = [2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol1115 = [0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0] pubkeycol1116 = [0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1] pubkeycol1117 = [2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol1118 = [1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol1119 = [2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol1120 = [1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol1121 = [1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol1122 = [2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1] pubkeycol1123 = [1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0] pubkeycol1124 = [0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol1125 = [2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1] pubkeycol1126 = [2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol1127 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0] pubkeycol1128 = [0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol1129 = [0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1] pubkeycol1130 = [1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol1131 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0] pubkeycol1132 = [1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1] pubkeycol1133 = [1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol1134 = [1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2] pubkeycol1135 = [2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol1136 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2] pubkeycol1137 = [1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1] pubkeycol1138 = [2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2] pubkeycol1139 = [1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol1140 = [0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1] pubkeycol1141 = [2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2] pubkeycol1142 = [0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol1143 = [1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1] pubkeycol1144 = [1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2] pubkeycol1145 = [0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1] pubkeycol1146 = [0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol1147 = [2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol1148 = [0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol1149 = [1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol1150 = [0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol1151 = [0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol1152 = [0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2] pubkeycol1153 = [2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2] pubkeycol1154 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol1155 = [1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0] pubkeycol1156 = [2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0] pubkeycol1157 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2] pubkeycol1158 = [0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1] pubkeycol1159 = [0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol1160 = [2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol1161 = [2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1162 = [0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol1163 = [0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0] pubkeycol1164 = [0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol1165 = [2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol1166 = [2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol1167 = [0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol1168 = [2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0] pubkeycol1169 = [0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol1170 = [0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol1171 = [2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol1172 = [0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2] pubkeycol1173 = [2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2] pubkeycol1174 = [0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2] pubkeycol1175 = [0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2] pubkeycol1176 = [2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2] pubkeycol1177 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1] pubkeycol1178 = [1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2] pubkeycol1179 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1] pubkeycol1180 = [2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol1181 = [0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol1182 = [1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol1183 = [2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol1184 = [0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0] pubkeycol1185 = [1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol1186 = [1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0] pubkeycol1187 = [2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2] pubkeycol1188 = [2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol1189 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol1190 = [1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0] pubkeycol1191 = [2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol1192 = [0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol1193 = [0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1] pubkeycol1194 = [2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol1195 = [2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol1196 = [1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2] pubkeycol1197 = [1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1] pubkeycol1198 = [0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol1199 = [2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol1200 = [1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2] pubkeycol1201 = [0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1] pubkeycol1202 = [1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0] pubkeycol1203 = [2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol1204 = [2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol1205 = [1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1] pubkeycol1206 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol1207 = [0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0] pubkeycol1208 = [1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1] pubkeycol1209 = [2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2] pubkeycol1210 = [2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0] pubkeycol1211 = [2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol1212 = [2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1213 = [1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol1214 = [1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol1215 = [1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0] pubkeycol1216 = [0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0] pubkeycol1217 = [2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0,