kilobytes = 167.981260037369 q = 3 m = 7 n = 2164 s = 0 t = 38 u = 76 k = 1632 w = 57 ciphertext = [1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol532 = [0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2] pubkeycol533 = [2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2] pubkeycol534 = [1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1] pubkeycol535 = [0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol536 = [2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2] pubkeycol537 = [0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol538 = [2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2] pubkeycol539 = [0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol540 = [0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol541 = [2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol542 = [1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol543 = [0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol544 = [0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol545 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol546 = [2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol547 = [2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol548 = [2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0] pubkeycol549 = [2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol550 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol551 = [0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol552 = [1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol553 = [1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol554 = [1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol555 = [1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2] pubkeycol556 = [0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol557 = [0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol558 = [0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol559 = [1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol560 = [2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol561 = [1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2] pubkeycol562 = [0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol563 = [1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2] pubkeycol564 = [1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol565 = [1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol566 = [2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol567 = [1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol568 = [1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol569 = [2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol570 = [2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol571 = [2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol572 = [0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol573 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0] pubkeycol574 = [0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0] pubkeycol575 = [2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1] pubkeycol576 = [0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol577 = [2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol578 = [0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol579 = [1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1] pubkeycol580 = [0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol581 = [1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2] pubkeycol582 = [0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1] pubkeycol583 = [2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2] pubkeycol584 = [2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol585 = [1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol586 = [0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol587 = [0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1] pubkeycol588 = [2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2] pubkeycol589 = [0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol590 = [0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2] pubkeycol591 = [0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol592 = [1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0] pubkeycol593 = [1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0] pubkeycol594 = [1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2] pubkeycol595 = [0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1] pubkeycol596 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1] pubkeycol597 = [1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1] pubkeycol598 = [1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0] pubkeycol599 = [0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol600 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1] pubkeycol601 = [2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol602 = [0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol603 = [0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1] pubkeycol604 = [0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol605 = [1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol606 = [0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2] pubkeycol607 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0] pubkeycol608 = [2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol609 = [1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol610 = [2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol611 = [2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol612 = [0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1] pubkeycol613 = [2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol614 = [0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol615 = [2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol616 = [2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol617 = [1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1] pubkeycol618 = [0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol619 = [0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol620 = [1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol621 = [0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol622 = [2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0] pubkeycol623 = [2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol624 = [0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol625 = [0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol626 = [2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0] pubkeycol627 = [1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2] pubkeycol628 = [0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1] pubkeycol629 = [0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol630 = [2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2] pubkeycol631 = [0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol632 = [1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1] pubkeycol633 = [0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol634 = [2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol635 = [0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1] pubkeycol636 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1] pubkeycol637 = [0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1] pubkeycol638 = [1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol639 = [1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2] pubkeycol640 = [0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol641 = [1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1] pubkeycol642 = [1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0] pubkeycol643 = [1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol644 = [0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol645 = [1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2] pubkeycol646 = [2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1] pubkeycol647 = [0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol648 = [0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol649 = [1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2] pubkeycol650 = [1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol651 = [1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2] pubkeycol652 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol653 = [1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol654 = [1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol655 = [1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol656 = [2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol657 = [2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1] pubkeycol658 = [0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol659 = [1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol660 = [1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1] pubkeycol661 = [1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2] pubkeycol662 = [1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol663 = [1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0] pubkeycol664 = [2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol665 = [2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1] pubkeycol666 = [2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol667 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1] pubkeycol668 = [1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1] pubkeycol669 = [2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1] pubkeycol670 = [0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol671 = [1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0] pubkeycol672 = [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol673 = [1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol674 = [2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol675 = [0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2] pubkeycol676 = [1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol677 = [2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0] pubkeycol678 = [0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0] pubkeycol679 = [2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol680 = [1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol681 = [0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol682 = [1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol683 = [1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0] pubkeycol684 = [2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0] pubkeycol685 = [1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol686 = [1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol687 = [1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1] pubkeycol688 = [2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol689 = [2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0] pubkeycol690 = [0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1] pubkeycol691 = [0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol692 = [0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2] pubkeycol693 = [2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1] pubkeycol694 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol695 = [2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol696 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol697 = [2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0] pubkeycol698 = [2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol699 = [0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2] pubkeycol700 = [2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1] pubkeycol701 = [2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol702 = [2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol703 = [0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2] pubkeycol704 = [2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol705 = [0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol706 = [2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2] pubkeycol707 = [2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol708 = [1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol709 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1] pubkeycol710 = [2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1] pubkeycol711 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol712 = [2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2] pubkeycol713 = [2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0] pubkeycol714 = [1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol715 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol716 = [2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol717 = [1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol718 = [2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol719 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0] pubkeycol720 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2] pubkeycol721 = [1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol722 = [2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1] pubkeycol723 = [1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2] pubkeycol724 = [0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0] pubkeycol725 = [0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0] pubkeycol726 = [2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0] pubkeycol727 = [1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol728 = [2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1] pubkeycol729 = [1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2] pubkeycol730 = [1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1] pubkeycol731 = [1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0] pubkeycol732 = [0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0] pubkeycol733 = [0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2] pubkeycol734 = [0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0] pubkeycol735 = [0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol736 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1] pubkeycol737 = [1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2] pubkeycol738 = [1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol739 = [2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol740 = [2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2] pubkeycol741 = [1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol742 = [0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1] pubkeycol743 = [1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol744 = [1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1] pubkeycol745 = [0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2] pubkeycol746 = [2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol747 = [2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol748 = [1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol749 = [0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0] pubkeycol750 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0] pubkeycol751 = [2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2] pubkeycol752 = [1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol753 = [1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol754 = [0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1] pubkeycol755 = [2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol756 = [1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol757 = [1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol758 = [0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2] pubkeycol759 = [2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1] pubkeycol760 = [0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol761 = [2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2] pubkeycol762 = [0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0] pubkeycol763 = [2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1] pubkeycol764 = [1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1] pubkeycol765 = [1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol766 = [2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol767 = [0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0] pubkeycol768 = [1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol769 = [0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol770 = [1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol771 = [2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2] pubkeycol772 = [0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol773 = [2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1] pubkeycol774 = [2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2] pubkeycol775 = [0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2] pubkeycol776 = [2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol777 = [1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol778 = [2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol779 = [2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2] pubkeycol780 = [1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0] pubkeycol781 = [1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1] pubkeycol782 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol783 = [0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol784 = [1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol785 = [0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2] pubkeycol786 = [2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol787 = [1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2] pubkeycol788 = [0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol789 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1] pubkeycol790 = [0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol791 = [2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol792 = [0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1] pubkeycol793 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2] pubkeycol794 = [1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol795 = [1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2] pubkeycol796 = [1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0] pubkeycol797 = [1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2] pubkeycol798 = [0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0] pubkeycol799 = [1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1] pubkeycol800 = [2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1] pubkeycol801 = [0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0] pubkeycol802 = [0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol803 = [1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol804 = [1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2] pubkeycol805 = [0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol806 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol807 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0] pubkeycol808 = [0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2] pubkeycol809 = [2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol810 = [0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol811 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2] pubkeycol812 = [2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol813 = [2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol814 = [1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1] pubkeycol815 = [1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol816 = [2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol817 = [2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol818 = [1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0] pubkeycol819 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol820 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1] pubkeycol821 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2] pubkeycol822 = [2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2] pubkeycol823 = [1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0] pubkeycol824 = [0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol825 = [0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol826 = [2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol827 = [1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2] pubkeycol828 = [1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol829 = [2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0] pubkeycol830 = [0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0] pubkeycol831 = [0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol832 = [2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol833 = [1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol834 = [2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1] pubkeycol835 = [2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol836 = [0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol837 = [1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0] pubkeycol838 = [1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol839 = [2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol840 = [0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol841 = [0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol842 = [2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol843 = [2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2] pubkeycol844 = [1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol845 = [2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol846 = [1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol847 = [1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol848 = [1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0] pubkeycol849 = [0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol850 = [0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol851 = [1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2] pubkeycol852 = [2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1] pubkeycol853 = [2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0] pubkeycol854 = [0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol855 = [0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1] pubkeycol856 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2] pubkeycol857 = [0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol858 = [2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol859 = [2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol860 = [0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1] pubkeycol861 = [1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol862 = [2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1] pubkeycol863 = [0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol864 = [0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0] pubkeycol865 = [2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0] pubkeycol866 = [0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0] pubkeycol867 = [2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1] pubkeycol868 = [2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol869 = [0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol870 = [1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol871 = [2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol872 = [0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0] pubkeycol873 = [0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2] pubkeycol874 = [2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol875 = [1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0] pubkeycol876 = [1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol877 = [2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol878 = [2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol879 = [2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2] pubkeycol880 = [2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0] pubkeycol881 = [1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1] pubkeycol882 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol883 = [1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1] pubkeycol884 = [0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol885 = [1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol886 = [0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol887 = [0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol888 = [2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1] pubkeycol889 = [1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol890 = [1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0] pubkeycol891 = [2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1] pubkeycol892 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol893 = [1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol894 = [2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2] pubkeycol895 = [2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol896 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2] pubkeycol897 = [1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1] pubkeycol898 = [2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1] pubkeycol899 = [2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol900 = [1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1] pubkeycol901 = [2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol902 = [1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2] pubkeycol903 = [2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0] pubkeycol904 = [0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2] pubkeycol905 = [0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0] pubkeycol906 = [0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol907 = [2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2] pubkeycol908 = [0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1] pubkeycol909 = [0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol910 = [1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1] pubkeycol911 = [1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2] pubkeycol912 = [0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1] pubkeycol913 = [1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1] pubkeycol914 = [0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2] pubkeycol915 = [1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol916 = [1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1] pubkeycol917 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol918 = [2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol919 = [1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol920 = [0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol921 = [0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol922 = [0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol923 = [2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol924 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol925 = [2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol926 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1] pubkeycol927 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol928 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0] pubkeycol929 = [1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol930 = [2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol931 = [2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2] pubkeycol932 = [0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1] pubkeycol933 = [0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2] pubkeycol934 = [1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1] pubkeycol935 = [2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol936 = [1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol937 = [0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol938 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol939 = [1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1] pubkeycol940 = [2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol941 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol942 = [1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol943 = [2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol944 = [2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0] pubkeycol945 = [1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0] pubkeycol946 = [2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol947 = [2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0] pubkeycol948 = [0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1] pubkeycol949 = [1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol950 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol951 = [0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol952 = [0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol953 = [0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0] pubkeycol954 = [1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol955 = [2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol956 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol957 = [1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol958 = [2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol959 = [1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol960 = [1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1] pubkeycol961 = [1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2] pubkeycol962 = [0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1] pubkeycol963 = [2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1] pubkeycol964 = [2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol965 = [2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol966 = [0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1] pubkeycol967 = [0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol968 = [1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol969 = [2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2] pubkeycol970 = [1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol971 = [0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0] pubkeycol972 = [0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol973 = [2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1] pubkeycol974 = [2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2] pubkeycol975 = [1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol976 = [0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2] pubkeycol977 = [0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol978 = [1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol979 = [0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2] pubkeycol980 = [2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1] pubkeycol981 = [0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2] pubkeycol982 = [2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol983 = [0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1] pubkeycol984 = [2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2] pubkeycol985 = [1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol986 = [0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol987 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol988 = [0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0] pubkeycol989 = [0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol990 = [0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1] pubkeycol991 = [2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0] pubkeycol992 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0] pubkeycol993 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2] pubkeycol994 = [1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2] pubkeycol995 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol996 = [2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2] pubkeycol997 = [2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0] pubkeycol998 = [2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0] pubkeycol999 = [1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol1000 = [1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2] pubkeycol1001 = [0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol1002 = [0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1] pubkeycol1003 = [0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0] pubkeycol1004 = [2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol1005 = [2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0] pubkeycol1006 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0] pubkeycol1007 = [1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol1008 = [2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2] pubkeycol1009 = [1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0] pubkeycol1010 = [2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol1011 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol1012 = [0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2] pubkeycol1013 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol1014 = [1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0] pubkeycol1015 = [0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1] pubkeycol1016 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol1017 = [0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0] pubkeycol1018 = [2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol1019 = [2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0] pubkeycol1020 = [2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol1021 = [0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol1022 = [2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol1023 = [0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1] pubkeycol1024 = [1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0] pubkeycol1025 = [2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0] pubkeycol1026 = [0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2] pubkeycol1027 = [2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0] pubkeycol1028 = [1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol1029 = [0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0] pubkeycol1030 = [2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol1031 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1] pubkeycol1032 = [0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1] pubkeycol1033 = [2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1034 = [1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1] pubkeycol1035 = [0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1] pubkeycol1036 = [2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol1037 = [1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0] pubkeycol1038 = [2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol1039 = [1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1] pubkeycol1040 = [0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2] pubkeycol1041 = [1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol1042 = [0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol1043 = [1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2] pubkeycol1044 = [0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2] pubkeycol1045 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol1046 = [1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol1047 = [1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1] pubkeycol1048 = [1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1] pubkeycol1049 = [2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol1050 = [1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol1051 = [0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol1052 = [2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1053 = [0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1] pubkeycol1054 = [0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1] pubkeycol1055 = [2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol1056 = [2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0] pubkeycol1057 = [1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol1058 = [2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol1059 = [2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0] pubkeycol1060 = [1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1] pubkeycol1061 = [2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2] pubkeycol1062 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol1063 = [0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol1064 = [2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol1065 = [0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol1066 = [2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1] pubkeycol1067 = [1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol1068 = [2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1] pubkeycol1069 = [0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0] pubkeycol1070 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2] pubkeycol1071 = [2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1] pubkeycol1072 = [0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1] pubkeycol1073 = [2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol1074 = [2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1] pubkeycol1075 = [0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1076 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol1077 = [2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol1078 = [2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2] pubkeycol1079 = [2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol1080 = [2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2] pubkeycol1081 = [0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0] pubkeycol1082 = [1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0] pubkeycol1083 = [0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol1084 = [1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1] pubkeycol1085 = [2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1] pubkeycol1086 = [2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1] pubkeycol1087 = [0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol1088 = [0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol1089 = [0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2] pubkeycol1090 = [0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol1091 = [2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2] pubkeycol1092 = [2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0] pubkeycol1093 = [2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol1094 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0] pubkeycol1095 = [2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol1096 = [2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0] pubkeycol1097 = [0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2] pubkeycol1098 = [0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol1099 = [1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2] pubkeycol1100 = [0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1] pubkeycol1101 = [2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2] pubkeycol1102 = [1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol1103 = [0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol1104 = [0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol1105 = [2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol1106 = [2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol1107 = [2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol1108 = [0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0] pubkeycol1109 = [1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol1110 = [0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1] pubkeycol1111 = [2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0] pubkeycol1112 = [0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2] pubkeycol1113 = [2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol1114 = [1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol1115 = [0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1] pubkeycol1116 = [1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol1117 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0] pubkeycol1118 = [2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol1119 = [1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0] pubkeycol1120 = [0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol1121 = [2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol1122 = [1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0] pubkeycol1123 = [2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0] pubkeycol1124 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2] pubkeycol1125 = [1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol1126 = [1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1127 = [1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol1128 = [1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1] pubkeycol1129 = [0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol1130 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0] pubkeycol1131 = [0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2] pubkeycol1132 = [2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol1133 = [2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol1134 = [1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol1135 = [2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2] pubkeycol1136 = [0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1] pubkeycol1137 = [1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol1138 = [1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol1139 = [0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2] pubkeycol1140 = [2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2] pubkeycol1141 = [2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0] pubkeycol1142 = [0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1] pubkeycol1143 = [0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1] pubkeycol1144 = [2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1145 = [1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol1146 = [0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol1147 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0] pubkeycol1148 = [0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol1149 = [2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0] pubkeycol1150 = [0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2] pubkeycol1151 = [1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1] pubkeycol1152 = [1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0] pubkeycol1153 = [0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol1154 = [1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol1155 = [2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol1156 = [1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1157 = [0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol1158 = [0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2] pubkeycol1159 = [1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol1160 = [1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol1161 = [2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol1162 = [2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol1163 = [1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0] pubkeycol1164 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol1165 = [2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0] pubkeycol1166 = [1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol1167 = [1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol1168 = [0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1] pubkeycol1169 = [2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0] pubkeycol1170 = [2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol1171 = [1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1] pubkeycol1172 = [2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol1173 = [2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol1174 = [1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1] pubkeycol1175 = [2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0] pubkeycol1176 = [2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol1177 = [0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol1178 = [2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0] pubkeycol1179 = [1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2] pubkeycol1180 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2] pubkeycol1181 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1,