kilobytes = 111.814151418063 q = 3 m = 7 n = 1796 s = 0 t = 30 u = 60 k = 1376 w = 45 ciphertext = [0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0] recovered_plaintext_using_secret_key = True pubkeycol420 = [2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2] pubkeycol421 = [0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2] pubkeycol422 = [0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0] pubkeycol423 = [2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol424 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0] pubkeycol425 = [2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1] pubkeycol426 = [0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol427 = [1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol428 = [0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0] pubkeycol429 = [1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol430 = [1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol431 = [2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0] pubkeycol432 = [2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol433 = [2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0] pubkeycol434 = [0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2] pubkeycol435 = [1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1] pubkeycol436 = [1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2] pubkeycol437 = [0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol438 = [2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1] pubkeycol439 = [2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol440 = [1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol441 = [2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol442 = [0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol443 = [1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0] pubkeycol444 = [0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol445 = [0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol446 = [2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol447 = [1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol448 = [2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol449 = [0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0] pubkeycol450 = [2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol451 = [2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol452 = [2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1] pubkeycol453 = [1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0] pubkeycol454 = [2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0] pubkeycol455 = [0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol456 = [0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol457 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0] pubkeycol458 = [2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol459 = [1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1] pubkeycol460 = [0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol461 = [0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0] pubkeycol462 = [2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol463 = [0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol464 = [1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1] pubkeycol465 = [2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2] pubkeycol466 = [0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol467 = [1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0] pubkeycol468 = [0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol469 = [2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0] pubkeycol470 = [1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol471 = [1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1] pubkeycol472 = [2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol473 = [1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1] pubkeycol474 = [0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2] pubkeycol475 = [2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0] pubkeycol476 = [2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol477 = [0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0] pubkeycol478 = [2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol479 = [0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol480 = [0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol481 = [2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1] pubkeycol482 = [0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol483 = [2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2] pubkeycol484 = [1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2] pubkeycol485 = [1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0] pubkeycol486 = [2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0] pubkeycol487 = [1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol488 = [1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol489 = [0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol490 = [0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol491 = [2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2] pubkeycol492 = [0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol493 = [2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1] pubkeycol494 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0] pubkeycol495 = [0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1] pubkeycol496 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2] pubkeycol497 = [0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2] pubkeycol498 = [2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0] pubkeycol499 = [1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2] pubkeycol500 = [1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol501 = [2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol502 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol503 = [1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2] pubkeycol504 = [2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1] pubkeycol505 = [1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol506 = [0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0] pubkeycol507 = [2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1] pubkeycol508 = [1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1] pubkeycol509 = [2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1] pubkeycol510 = [2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0] pubkeycol511 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2] pubkeycol512 = [1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2] pubkeycol513 = [2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2] pubkeycol514 = [2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2] pubkeycol515 = [2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol516 = [2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0] pubkeycol517 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1] pubkeycol518 = [0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1] pubkeycol519 = [0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol520 = [0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol521 = [0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol522 = [0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol523 = [1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2] pubkeycol524 = [1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1] pubkeycol525 = [2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol526 = [2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0] pubkeycol527 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1] pubkeycol528 = [1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2] pubkeycol529 = [0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1] pubkeycol530 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1] pubkeycol531 = [0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0] pubkeycol532 = [1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol533 = [1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol534 = [2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol535 = [1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1] pubkeycol536 = [1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol537 = [1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1] pubkeycol538 = [0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1] pubkeycol539 = [2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol540 = [2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol541 = [1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0] pubkeycol542 = [1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol543 = [1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol544 = [0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2] pubkeycol545 = [1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2] pubkeycol546 = [0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol547 = [1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol548 = [0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2] pubkeycol549 = [2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2] pubkeycol550 = [0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0] pubkeycol551 = [0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol552 = [1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0] pubkeycol553 = [2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0] pubkeycol554 = [0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0] pubkeycol555 = [0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0] pubkeycol556 = [0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2] pubkeycol557 = [0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1] pubkeycol558 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol559 = [2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol560 = [2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2] pubkeycol561 = [0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2] pubkeycol562 = [2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2] pubkeycol563 = [1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1] pubkeycol564 = [1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol565 = [1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0] pubkeycol566 = [1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2] pubkeycol567 = [2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0] pubkeycol568 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2] pubkeycol569 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol570 = [2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol571 = [2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1] pubkeycol572 = [0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1] pubkeycol573 = [0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol574 = [2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1] pubkeycol575 = [2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2] pubkeycol576 = [0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol577 = [2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2] pubkeycol578 = [2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0] pubkeycol579 = [2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol580 = [0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0] pubkeycol581 = [1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol582 = [1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol583 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol584 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0] pubkeycol585 = [0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol586 = [2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol587 = [0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2] pubkeycol588 = [2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol589 = [1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol590 = [1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol591 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol592 = [1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1] pubkeycol593 = [0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol594 = [0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1] pubkeycol595 = [1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol596 = [0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1] pubkeycol597 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1] pubkeycol598 = [2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0] pubkeycol599 = [2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol600 = [0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2] pubkeycol601 = [1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol602 = [0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol603 = [1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0] pubkeycol604 = [2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol605 = [1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol606 = [1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol607 = [0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0] pubkeycol608 = [2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol609 = [2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol610 = [2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol611 = [0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol612 = [2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0] pubkeycol613 = [0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol614 = [0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol615 = [1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1] pubkeycol616 = [2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0] pubkeycol617 = [2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol618 = [2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1] pubkeycol619 = [0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol620 = [1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1] pubkeycol621 = [0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol622 = [0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol623 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol624 = [1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol625 = [2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol626 = [1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol627 = [2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0] pubkeycol628 = [2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0] pubkeycol629 = [0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol630 = [0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0] pubkeycol631 = [2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol632 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2] pubkeycol633 = [1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1] pubkeycol634 = [2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1] pubkeycol635 = [2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2] pubkeycol636 = [1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol637 = [2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2] pubkeycol638 = [1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol639 = [0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol640 = [2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1] pubkeycol641 = [0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0] pubkeycol642 = [1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol643 = [0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1] pubkeycol644 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol645 = [0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2] pubkeycol646 = [1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol647 = [0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1] pubkeycol648 = [0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1] pubkeycol649 = [2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol650 = [1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol651 = [1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol652 = [0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol653 = [1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0] pubkeycol654 = [1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1] pubkeycol655 = [1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1] pubkeycol656 = [1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0] pubkeycol657 = [0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol658 = [1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1] pubkeycol659 = [0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2] pubkeycol660 = [0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2] pubkeycol661 = [1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0] pubkeycol662 = [0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0] pubkeycol663 = [0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol664 = [0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol665 = [1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0] pubkeycol666 = [0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1] pubkeycol667 = [0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0] pubkeycol668 = [1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol669 = [2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2] pubkeycol670 = [2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2] pubkeycol671 = [2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol672 = [0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1] pubkeycol673 = [1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol674 = [2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0] pubkeycol675 = [2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2] pubkeycol676 = [1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol677 = [0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0] pubkeycol678 = [1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0] pubkeycol679 = [0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol680 = [2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0] pubkeycol681 = [1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2] pubkeycol682 = [0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1] pubkeycol683 = [2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol684 = [1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol685 = [0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0] pubkeycol686 = [2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2] pubkeycol687 = [2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol688 = [1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol689 = [1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0] pubkeycol690 = [0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1] pubkeycol691 = [2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0] pubkeycol692 = [0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol693 = [0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol694 = [2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0] pubkeycol695 = [0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2] pubkeycol696 = [1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0] pubkeycol697 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol698 = [1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1] pubkeycol699 = [0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol700 = [0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0] pubkeycol701 = [2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2] pubkeycol702 = [0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0] pubkeycol703 = [1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2] pubkeycol704 = [2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2] pubkeycol705 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol706 = [2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2] pubkeycol707 = [2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol708 = [2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2] pubkeycol709 = [0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1] pubkeycol710 = [0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2] pubkeycol711 = [0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol712 = [1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2] pubkeycol713 = [0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1] pubkeycol714 = [2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0] pubkeycol715 = [1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol716 = [1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0] pubkeycol717 = [1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol718 = [0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2] pubkeycol719 = [0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1] pubkeycol720 = [1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol721 = [0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2] pubkeycol722 = [1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol723 = [0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol724 = [0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol725 = [2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2] pubkeycol726 = [1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol727 = [2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2] pubkeycol728 = [0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0] pubkeycol729 = [2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol730 = [0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1] pubkeycol731 = [2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0] pubkeycol732 = [1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol733 = [0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2] pubkeycol734 = [2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2] pubkeycol735 = [0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol736 = [0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2] pubkeycol737 = [0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1] pubkeycol738 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0] pubkeycol739 = [1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol740 = [2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2] pubkeycol741 = [1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0] pubkeycol742 = [1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol743 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2] pubkeycol744 = [0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2] pubkeycol745 = [0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol746 = [1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2] pubkeycol747 = [1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol748 = [2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0] pubkeycol749 = [1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2] pubkeycol750 = [1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol751 = [1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1] pubkeycol752 = [0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol753 = [2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol754 = [0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol755 = [1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2] pubkeycol756 = [2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol757 = [0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1] pubkeycol758 = [1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol759 = [2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2] pubkeycol760 = [0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol761 = [1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1] pubkeycol762 = [1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol763 = [2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol764 = [2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0] pubkeycol765 = [1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0] pubkeycol766 = [1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2] pubkeycol767 = [2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1] pubkeycol768 = [0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol769 = [1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol770 = [2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol771 = [0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol772 = [2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol773 = [2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2] pubkeycol774 = [2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1] pubkeycol775 = [2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1] pubkeycol776 = [2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2] pubkeycol777 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2] pubkeycol778 = [1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1] pubkeycol779 = [0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol780 = [0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol781 = [0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1] pubkeycol782 = [2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0] pubkeycol783 = [2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol784 = [0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol785 = [1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol786 = [2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2] pubkeycol787 = [1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol788 = [2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol789 = [0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1] pubkeycol790 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol791 = [2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2] pubkeycol792 = [2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol793 = [1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0] pubkeycol794 = [1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol795 = [0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1] pubkeycol796 = [0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2] pubkeycol797 = [1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol798 = [2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1] pubkeycol799 = [2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol800 = [1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol801 = [2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol802 = [2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol803 = [1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol804 = [2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol805 = [2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0] pubkeycol806 = [1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1] pubkeycol807 = [2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2] pubkeycol808 = [0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2] pubkeycol809 = [0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol810 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1] pubkeycol811 = [2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1] pubkeycol812 = [2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol813 = [0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol814 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1] pubkeycol815 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1] pubkeycol816 = [0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1] pubkeycol817 = [2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol818 = [0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol819 = [2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2] pubkeycol820 = [1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0] pubkeycol821 = [2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1] pubkeycol822 = [2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0] pubkeycol823 = [0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2] pubkeycol824 = [2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol825 = [1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2] pubkeycol826 = [1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1] pubkeycol827 = [1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol828 = [0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0] pubkeycol829 = [1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol830 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol831 = [2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol832 = [0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol833 = [2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2] pubkeycol834 = [2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol835 = [2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol836 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol837 = [2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1] pubkeycol838 = [1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol839 = [2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol840 = [2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol841 = [2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1] pubkeycol842 = [0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol843 = [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1] pubkeycol844 = [0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol845 = [0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2] pubkeycol846 = [1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2] pubkeycol847 = [1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1] pubkeycol848 = [0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1] pubkeycol849 = [1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2] pubkeycol850 = [2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0] pubkeycol851 = [0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0] pubkeycol852 = [2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol853 = [0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol854 = [2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol855 = [2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2] pubkeycol856 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol857 = [1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol858 = [1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol859 = [2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol860 = [0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2] pubkeycol861 = [0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol862 = [1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1] pubkeycol863 = [1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2] pubkeycol864 = [0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol865 = [0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol866 = [1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2] pubkeycol867 = [2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1] pubkeycol868 = [2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol869 = [1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol870 = [0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol871 = [2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0] pubkeycol872 = [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol873 = [0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1] pubkeycol874 = [2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol875 = [0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol876 = [1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2] pubkeycol877 = [0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1] pubkeycol878 = [1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol879 = [1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2] pubkeycol880 = [1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol881 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol882 = [2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0] pubkeycol883 = [0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1] pubkeycol884 = [2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol885 = [0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0] pubkeycol886 = [2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2] pubkeycol887 = [1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1] pubkeycol888 = [2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0] pubkeycol889 = [2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol890 = [2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1] pubkeycol891 = [1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol892 = [2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1] pubkeycol893 = [2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol894 = [1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0] pubkeycol895 = [0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0] pubkeycol896 = [0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol897 = [0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1] pubkeycol898 = [1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol899 = [0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol900 = [1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol901 = [2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2] pubkeycol902 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol903 = [2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0] pubkeycol904 = [0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol905 = [1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1] pubkeycol906 = [2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0] pubkeycol907 = [2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2] pubkeycol908 = [2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol909 = [1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2] pubkeycol910 = [0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol911 = [1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0] pubkeycol912 = [1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2] pubkeycol913 = [0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2] pubkeycol914 = [0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol915 = [2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0] pubkeycol916 = [0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2] pubkeycol917 = [0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0] pubkeycol918 = [0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol919 = [2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1] pubkeycol920 = [1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol921 = [2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0] pubkeycol922 = [0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol923 = [2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol924 = [1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol925 = [1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol926 = [1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2] pubkeycol927 = [1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2] pubkeycol928 = [2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol929 = [1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol930 = [2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0] pubkeycol931 = [1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol932 = [0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol933 = [0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0] pubkeycol934 = [1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol935 = [2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1] pubkeycol936 = [2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0] pubkeycol937 = [2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2] pubkeycol938 = [0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1] pubkeycol939 = [1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2] pubkeycol940 = [0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0] pubkeycol941 = [2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2] pubkeycol942 = [0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol943 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0] pubkeycol944 = [1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol945 = [1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol946 = [1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2] pubkeycol947 = [2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol948 = [1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2] pubkeycol949 = [1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol950 = [1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0] pubkeycol951 = [1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol952 = [0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol953 = [0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1] pubkeycol954 = [0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1] pubkeycol955 = [2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2] pubkeycol956 = [0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol957 = [0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol958 = [0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol959 = [0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0] pubkeycol960 = [0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol961 = [1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0] pubkeycol962 = [1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2] pubkeycol963 = [1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0] pubkeycol964 = [1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1] pubkeycol965 = [0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1] pubkeycol966 = [0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol967 = [1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1] pubkeycol968 = [2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2] pubkeycol969 = [1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol970 = [2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0] pubkeycol971 = [1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol972 = [2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol973 = [2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1] pubkeycol974 = [1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol975 = [2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol976 = [2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol977 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol978 = [1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol979 = [1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0] pubkeycol980 = [0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0] pubkeycol981 = [1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1] pubkeycol982 = [1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol983 = [1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol984 = [1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol985 = [1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol986 = [1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2] pubkeycol987 = [2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2] pubkeycol988 = [2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0] pubkeycol989 = [0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol990 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1] pubkeycol991 = [2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0] pubkeycol992 = [1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1] pubkeycol993 = [0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0] pubkeycol994 = [1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol995 = [2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0] pubkeycol996 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0] pubkeycol997 = [2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol998 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol999 = [0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0] pubkeycol1000 = [2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2] pubkeycol1001 = [0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol1002 = [0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1] pubkeycol1003 = [0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2] pubkeycol1004 = [0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1005 = [2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1] pubkeycol1006 = [1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol1007 = [0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol1008 = [1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1009 = [2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2] pubkeycol1010 = [2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2] pubkeycol1011 = [1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0] pubkeycol1012 = [0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2] pubkeycol1013 = [2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol1014 = [1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0] pubkeycol1015 = [0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0] pubkeycol1016 = [2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol1017 = [0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol1018 = [2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol1019 = [1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1] pubkeycol1020 = [0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1] pubkeycol1021 = [0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2] pubkeycol1022 = [0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol1023 = [2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0] pubkeycol1024 = [1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2] pubkeycol1025 = [1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol1026 = [0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol1027 = [1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0] pubkeycol1028 = [1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol1029 = [1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0] pubkeycol1030 = [2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol1031 = [1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol1032 = [0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1] pubkeycol1033 = [1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1] pubkeycol1034 = [2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol1035 = [0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1] pubkeycol1036 = [1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol1037 = [0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2] pubkeycol1038 = [2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0] pubkeycol1039 = [0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0] pubkeycol1040 = [0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2] pubkeycol1041 = [2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0] pubkeycol1042 = [2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1] pubkeycol1043 = [1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0] pubkeycol1044 = [0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol1045 = [2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol1046 = [0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2] pubkeycol1047 = [0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1] pubkeycol1048 = [0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol1049 = [2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2] pubkeycol1050 = [1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1] pubkeycol1051 = [1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2] pubkeycol1052 = [2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0] pubkeycol1053 = [1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2] pubkeycol1054 = [2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol1055 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1] pubkeycol1056 = [1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0] pubkeycol1057 = [2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol1058 = [2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol1059 = [1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1] pubkeycol1060 = [0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0] pubkeycol1061 = [1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol1062 = [1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol1063 = [2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1] pubkeycol1064 = [1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1065 = [2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol1066 = [0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol1067 = [0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol1068 = [1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1069 = [1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol1070 = [1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol1071 = [1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1] pubkeycol1072 = [0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1] pubkeycol1073 = [0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol1074 = [0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2] pubkeycol1075 = [0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0] pubkeycol1076 = [0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol1077 = [1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol1078 = [1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2] pubkeycol1079 = [2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol1080 = [0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol1081 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol1082 = [0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1083 = [0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol1084 = [0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol1085 = [0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1] pubkeycol1086 = [0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol1087 = [1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol1088 = [2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1] pubkeycol1089 = [1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1] pubkeycol1090 = [2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2] pubkeycol1091 = [2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol1092 = [0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol1093 = [1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2] pubkeycol1094 = [2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol1095 = [2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1096 = [0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol1097 = [0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2] pubkeycol1098 = [1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol1099 = [2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1] pubkeycol1100 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2] pubkeycol1101 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol1102 = [0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0] pubkeycol1103 = [1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1] pubkeycol1104 = [0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0] pubkeycol1105 = [2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0] pubkeycol1106 = [0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1107 = [2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol1108 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol1109 = [0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1] pubkeycol1110 = [1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2] pubkeycol1111 = [1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol1112 = [0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1] pubkeycol1113 = [0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1] pubkeycol1114 = [0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0] pubkeycol1115 = [1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol1116 = [2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol1117 = [2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1] pubkeycol1118 = [1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0] pubkeycol1119 = [2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0] pubkeycol1120 = [1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2] pubkeycol1121 = [0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2] pubkeycol1122 = [1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2] pubkeycol1123 = [1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1124 = [0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1] pubkeycol1125 = [2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol1126 = [2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol1127 = [1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2] pubkeycol1128 = [2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol1129 = [0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2] pubkeycol1130 = [0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1] pubkeycol1131 = [2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol1132 = [2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1133 = [1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1] pubkeycol1134 = [0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol1135 = [2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0] pubkeycol1136 = [0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0] pubkeycol1137 = [2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2] pubkeycol1138 = [1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2] pubkeycol1139 = [2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0] pubkeycol1140 = [0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol1141 = [0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol1142 = [0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0] pubkeycol1143 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0] pubkeycol1144 = [1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol1145 = [2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol1146 = [2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1] pubkeycol1147 = [0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol1148 = [1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol1149 = [1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2] pubkeycol1150 = [1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1] pubkeycol1151 = [1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol1152 = [2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol1153 = [0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2] pubkeycol1154 = [1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol1155 = [1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2] pubkeycol1156 = [2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2] pubkeycol1157 = [1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2] pubkeycol1158 = [2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2] pubkeycol1159 = [2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1] pubkeycol1160 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0] pubkeycol1161 = [2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1] pubkeycol1162 = [1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol1163 = [0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol1164 = [0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0] pubkeycol1165 = [1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol1166 = [0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1] pubkeycol1167 = [2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0] pubkeycol1168 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2] pubkeycol1169 = [2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0] pubkeycol1170 = [1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol1171 = [0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0] pubkeycol1172 = [1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2] pubkeycol1173 = [0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0] pubkeycol1174 = [1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1] pubkeycol1175 = [2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol1176 = [2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0] pubkeycol1177 = [1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2] pubkeycol1178 = [0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2] pubkeycol1179 = [1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol1180 = [0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1181 = [1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol1182 = [2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1] pubkeycol1183 = [2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol1184 = [2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol1185 = [2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol1186 = [0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0] pubkeycol1187 = [0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2] pubkeycol1188 = [0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0] pubkeycol1189 = [2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0] pubkeycol1190 = [1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1] pubkeycol1191 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1] pubkeycol1192 = [2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol1193 = [1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol1194 = [1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0] pubkeycol1195 = [1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2] pubkeycol1196 = [0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0] pubkeycol1197 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2] pubkeycol1198 = [1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0] pubkeycol1199 = [1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol1200 = [2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2] pubkeycol1201 = [0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2] pubkeycol1202 = [2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1] pubkeycol1203 = [1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol1204 = [2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2] pubkeycol1205 = [0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0] pubkeycol1206 = [2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0] pubkeycol1207 = [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0] pubkeycol1208 = [2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol1209 = [2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol1210 = [2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2] pubkeycol1211 = [2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1] pubkeycol1212 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1213 = [2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1] pubkeycol1214 = [0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol1215 = [1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol1216 = [0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol1217 = [0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol1218 = [2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0] pubkeycol1219 = [0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0] pubkeycol1220 = [1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2] pubkeycol1221 = [2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol1222 = [0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1] pubkeycol1223 = [0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1] pubkeycol1224 = [2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol1225 = [0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol1226 = [1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol1227 = [1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1228 = [2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol1229 = [1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol1230 = [1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol1231 = [2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2] pubkeycol1232 = [1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol1233 = [0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1] pubkeycol1234 = [0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1] pubkeycol1235 = [0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol1236 = [2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0] pubkeycol1237 = [0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1] pubkeycol1238 = [1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2] pubkeycol1239 = [1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol1240 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2