kilobytes = 98.4874647664914 q = 3 m = 7 n = 1632 s = 0 t = 30 u = 60 k = 1212 w = 45 ciphertext = [1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1] recovered_plaintext_using_secret_key = True pubkeycol420 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1] pubkeycol421 = [0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol422 = [2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0] pubkeycol423 = [0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1] pubkeycol424 = [2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1] pubkeycol425 = [1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2] pubkeycol426 = [0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0] pubkeycol427 = [2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2] pubkeycol428 = [0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2] pubkeycol429 = [1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0] pubkeycol430 = [2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol431 = [1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol432 = [2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol433 = [0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol434 = [2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol435 = [2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol436 = [0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2] pubkeycol437 = [2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0] pubkeycol438 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1] pubkeycol439 = [1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2] pubkeycol440 = [1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol441 = [1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol442 = [0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1] pubkeycol443 = [0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol444 = [1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1] pubkeycol445 = [0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2] pubkeycol446 = [2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1] pubkeycol447 = [0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1] pubkeycol448 = [1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol449 = [0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1] pubkeycol450 = [2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol451 = [2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2] pubkeycol452 = [2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0] pubkeycol453 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol454 = [1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1] pubkeycol455 = [0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1] pubkeycol456 = [0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1] pubkeycol457 = [0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2] pubkeycol458 = [0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol459 = [0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1] pubkeycol460 = [1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0] pubkeycol461 = [1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2] pubkeycol462 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol463 = [2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol464 = [2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1] pubkeycol465 = [1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2] pubkeycol466 = [2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol467 = [2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol468 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0] pubkeycol469 = [1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol470 = [2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol471 = [2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol472 = [0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol473 = [0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0] pubkeycol474 = [1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0] pubkeycol475 = [1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol476 = [2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol477 = [0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0] pubkeycol478 = [1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol479 = [1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol480 = [0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol481 = [0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol482 = [2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol483 = [1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol484 = [0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol485 = [1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1] pubkeycol486 = [0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1] pubkeycol487 = [1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol488 = [1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol489 = [1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol490 = [2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol491 = [1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol492 = [0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0] pubkeycol493 = [2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1] pubkeycol494 = [1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2] pubkeycol495 = [2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol496 = [2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0] pubkeycol497 = [1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol498 = [1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol499 = [0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1] pubkeycol500 = [1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol501 = [1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0] pubkeycol502 = [2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol503 = [0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2] pubkeycol504 = [1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol505 = [1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol506 = [2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1] pubkeycol507 = [2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1] pubkeycol508 = [1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1] pubkeycol509 = [2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1] pubkeycol510 = [2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2] pubkeycol511 = [2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol512 = [1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol513 = [1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0] pubkeycol514 = [2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1] pubkeycol515 = [1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol516 = [2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2] pubkeycol517 = [1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol518 = [0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol519 = [0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2] pubkeycol520 = [2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2] pubkeycol521 = [1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0] pubkeycol522 = [2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol523 = [1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0] pubkeycol524 = [1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol525 = [0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol526 = [2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2] pubkeycol527 = [2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol528 = [1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2] pubkeycol529 = [0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol530 = [1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0] pubkeycol531 = [2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol532 = [1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol533 = [2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol534 = [0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0] pubkeycol535 = [2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2] pubkeycol536 = [2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol537 = [1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol538 = [1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1] pubkeycol539 = [0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol540 = [2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0] pubkeycol541 = [1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1] pubkeycol542 = [0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1] pubkeycol543 = [2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0] pubkeycol544 = [0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol545 = [2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0] pubkeycol546 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2] pubkeycol547 = [0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol548 = [1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2] pubkeycol549 = [2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0] pubkeycol550 = [0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1] pubkeycol551 = [0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol552 = [0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol553 = [1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2] pubkeycol554 = [2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1] pubkeycol555 = [2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol556 = [0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol557 = [0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1] pubkeycol558 = [1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0] pubkeycol559 = [1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol560 = [1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2] pubkeycol561 = [1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1] pubkeycol562 = [2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1] pubkeycol563 = [1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol564 = [2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2] pubkeycol565 = [1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1] pubkeycol566 = [2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2] pubkeycol567 = [0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0] pubkeycol568 = [0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0] pubkeycol569 = [0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2] pubkeycol570 = [1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2] pubkeycol571 = [0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol572 = [2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1] pubkeycol573 = [0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2] pubkeycol574 = [2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1] pubkeycol575 = [0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol576 = [1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0] pubkeycol577 = [0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0] pubkeycol578 = [1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol579 = [2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0] pubkeycol580 = [0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1] pubkeycol581 = [2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol582 = [0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2] pubkeycol583 = [0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1] pubkeycol584 = [1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol585 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2] pubkeycol586 = [0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol587 = [1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2] pubkeycol588 = [1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0] pubkeycol589 = [2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol590 = [0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0] pubkeycol591 = [1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol592 = [2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0] pubkeycol593 = [2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0] pubkeycol594 = [1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol595 = [2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol596 = [2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol597 = [1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0] pubkeycol598 = [0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1] pubkeycol599 = [1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol600 = [1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] pubkeycol601 = [0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol602 = [1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol603 = [2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0] pubkeycol604 = [2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol605 = [0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2] pubkeycol606 = [0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0] pubkeycol607 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0] pubkeycol608 = [0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1] pubkeycol609 = [1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0] pubkeycol610 = [0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol611 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1] pubkeycol612 = [2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1] pubkeycol613 = [2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1] pubkeycol614 = [0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol615 = [1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2] pubkeycol616 = [0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2] pubkeycol617 = [1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol618 = [2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol619 = [2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1] pubkeycol620 = [1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2] pubkeycol621 = [1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0] pubkeycol622 = [1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1] pubkeycol623 = [1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol624 = [2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0] pubkeycol625 = [1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol626 = [1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0] pubkeycol627 = [1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol628 = [2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol629 = [0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1] pubkeycol630 = [1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0] pubkeycol631 = [2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0] pubkeycol632 = [0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2] pubkeycol633 = [0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol634 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1] pubkeycol635 = [1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1] pubkeycol636 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol637 = [0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2] pubkeycol638 = [2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1] pubkeycol639 = [2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2] pubkeycol640 = [2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0] pubkeycol641 = [1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol642 = [0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2] pubkeycol643 = [1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol644 = [1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1] pubkeycol645 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol646 = [0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol647 = [1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol648 = [0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2] pubkeycol649 = [0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1] pubkeycol650 = [2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2] pubkeycol651 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol652 = [1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1] pubkeycol653 = [0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0] pubkeycol654 = [0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0] pubkeycol655 = [0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol656 = [2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2] pubkeycol657 = [1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2] pubkeycol658 = [2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol659 = [1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1] pubkeycol660 = [1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2] pubkeycol661 = [1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1] pubkeycol662 = [0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol663 = [0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol664 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2] pubkeycol665 = [1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1] pubkeycol666 = [1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0] pubkeycol667 = [0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1] pubkeycol668 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2] pubkeycol669 = [1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2] pubkeycol670 = [0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2] pubkeycol671 = [0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol672 = [1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2] pubkeycol673 = [2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1] pubkeycol674 = [1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1] pubkeycol675 = [0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0] pubkeycol676 = [1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1] pubkeycol677 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2] pubkeycol678 = [0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1] pubkeycol679 = [0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol680 = [2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1] pubkeycol681 = [1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol682 = [0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol683 = [1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1] pubkeycol684 = [1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol685 = [0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0] pubkeycol686 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol687 = [1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol688 = [2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1] pubkeycol689 = [2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2] pubkeycol690 = [0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol691 = [2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0] pubkeycol692 = [0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1] pubkeycol693 = [1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol694 = [1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol695 = [0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol696 = [0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0] pubkeycol697 = [0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1] pubkeycol698 = [0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0] pubkeycol699 = [2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol700 = [0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol701 = [2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2] pubkeycol702 = [2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol703 = [1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol704 = [1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1] pubkeycol705 = [2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol706 = [2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1] pubkeycol707 = [0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol708 = [0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1] pubkeycol709 = [0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1] pubkeycol710 = [2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2] pubkeycol711 = [2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1] pubkeycol712 = [0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol713 = [1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0] pubkeycol714 = [0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2] pubkeycol715 = [1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol716 = [0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2] pubkeycol717 = [0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol718 = [0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1] pubkeycol719 = [1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0] pubkeycol720 = [1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1] pubkeycol721 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol722 = [1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2] pubkeycol723 = [2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol724 = [2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol725 = [0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1] pubkeycol726 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1] pubkeycol727 = [1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol728 = [0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0] pubkeycol729 = [1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol730 = [1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol731 = [2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol732 = [1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0] pubkeycol733 = [1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1] pubkeycol734 = [0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0] pubkeycol735 = [2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol736 = [0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol737 = [2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol738 = [2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2] pubkeycol739 = [1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0] pubkeycol740 = [1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol741 = [2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2] pubkeycol742 = [2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol743 = [0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1] pubkeycol744 = [2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol745 = [2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol746 = [2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol747 = [0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1] pubkeycol748 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2] pubkeycol749 = [2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0] pubkeycol750 = [1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0] pubkeycol751 = [1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol752 = [1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0] pubkeycol753 = [0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0] pubkeycol754 = [2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1] pubkeycol755 = [0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0] pubkeycol756 = [1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol757 = [0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol758 = [1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol759 = [1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol760 = [1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol761 = [2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1] pubkeycol762 = [0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1] pubkeycol763 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0] pubkeycol764 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0] pubkeycol765 = [0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1] pubkeycol766 = [0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1] pubkeycol767 = [2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol768 = [1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0] pubkeycol769 = [0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1] pubkeycol770 = [0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0] pubkeycol771 = [2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0] pubkeycol772 = [2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol773 = [0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol774 = [2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2] pubkeycol775 = [2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1] pubkeycol776 = [0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol777 = [1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol778 = [1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1] pubkeycol779 = [2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0] pubkeycol780 = [2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1] pubkeycol781 = [2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0] pubkeycol782 = [2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol783 = [1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol784 = [1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol785 = [1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol786 = [0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol787 = [1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol788 = [2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol789 = [2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0] pubkeycol790 = [0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol791 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol792 = [2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol793 = [1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1] pubkeycol794 = [1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol795 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1] pubkeycol796 = [0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1] pubkeycol797 = [0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1] pubkeycol798 = [2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2] pubkeycol799 = [1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1] pubkeycol800 = [0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0] pubkeycol801 = [2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol802 = [1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1] pubkeycol803 = [0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol804 = [1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2] pubkeycol805 = [1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0] pubkeycol806 = [2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1] pubkeycol807 = [1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol808 = [2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol809 = [2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol810 = [2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2] pubkeycol811 = [2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2] pubkeycol812 = [1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol813 = [1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0] pubkeycol814 = [2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0] pubkeycol815 = [1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1] pubkeycol816 = [1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0] pubkeycol817 = [1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1] pubkeycol818 = [0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol819 = [0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol820 = [2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol821 = [2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1] pubkeycol822 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol823 = [1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2] pubkeycol824 = [0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1] pubkeycol825 = [2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2] pubkeycol826 = [0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol827 = [2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0] pubkeycol828 = [0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1] pubkeycol829 = [1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol830 = [0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1] pubkeycol831 = [2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol832 = [1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0] pubkeycol833 = [2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol834 = [2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2] pubkeycol835 = [2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1] pubkeycol836 = [2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2] pubkeycol837 = [1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol838 = [2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0] pubkeycol839 = [0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol840 = [1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2] pubkeycol841 = [2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol842 = [1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol843 = [1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol844 = [1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1] pubkeycol845 = [1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol846 = [1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol847 = [0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0] pubkeycol848 = [2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2] pubkeycol849 = [1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol850 = [2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol851 = [2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2] pubkeycol852 = [2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0] pubkeycol853 = [1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2] pubkeycol854 = [1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1] pubkeycol855 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2] pubkeycol856 = [1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol857 = [2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol858 = [2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0] pubkeycol859 = [1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1] pubkeycol860 = [0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0] pubkeycol861 = [2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0] pubkeycol862 = [2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2] pubkeycol863 = [0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol864 = [2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol865 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol866 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol867 = [0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2] pubkeycol868 = [1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2] pubkeycol869 = [0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2] pubkeycol870 = [0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0] pubkeycol871 = [2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol872 = [0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol873 = [0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0] pubkeycol874 = [1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol875 = [0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2] pubkeycol876 = [1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol877 = [1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol878 = [1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1] pubkeycol879 = [1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0] pubkeycol880 = [0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1] pubkeycol881 = [0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1] pubkeycol882 = [0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2] pubkeycol883 = [2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol884 = [0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol885 = [0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol886 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol887 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0] pubkeycol888 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol889 = [0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1] pubkeycol890 = [2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol891 = [0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2] pubkeycol892 = [1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol893 = [1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol894 = [1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol895 = [0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0] pubkeycol896 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol897 = [2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1] pubkeycol898 = [0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1] pubkeycol899 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2] pubkeycol900 = [0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol901 = [2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol902 = [0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol903 = [1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2] pubkeycol904 = [0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol905 = [1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2] pubkeycol906 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0] pubkeycol907 = [0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0] pubkeycol908 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2] pubkeycol909 = [2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol910 = [1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol911 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0] pubkeycol912 = [1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2] pubkeycol913 = [0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1] pubkeycol914 = [1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol915 = [0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol916 = [2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0] pubkeycol917 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1] pubkeycol918 = [2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol919 = [0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1] pubkeycol920 = [2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1] pubkeycol921 = [2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0] pubkeycol922 = [0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol923 = [0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol924 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol925 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0] pubkeycol926 = [0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0] pubkeycol927 = [2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2] pubkeycol928 = [2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2] pubkeycol929 = [1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol930 = [2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol931 = [2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0] pubkeycol932 = [0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0] pubkeycol933 = [2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol934 = [1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol935 = [1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol936 = [1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol937 = [0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol938 = [2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1] pubkeycol939 = [2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2] pubkeycol940 = [0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2] pubkeycol941 = [0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0] pubkeycol942 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol943 = [0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0] pubkeycol944 = [0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0] pubkeycol945 = [0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol946 = [2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol947 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol948 = [0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol949 = [2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1] pubkeycol950 = [1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol951 = [2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1] pubkeycol952 = [1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol953 = [2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol954 = [0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol955 = [2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol956 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2] pubkeycol957 = [2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0] pubkeycol958 = [1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol959 = [0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2] pubkeycol960 = [0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1] pubkeycol961 = [2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol962 = [1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol963 = [0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2] pubkeycol964 = [0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol965 = [1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol966 = [1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1] pubkeycol967 = [2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol968 = [0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2] pubkeycol969 = [0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol970 = [0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0] pubkeycol971 = [1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0] pubkeycol972 = [1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol973 = [1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol974 = [1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0] pubkeycol975 = [2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol976 = [1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol977 = [2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol978 = [2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0] pubkeycol979 = [1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol980 = [2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol981 = [0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol982 = [2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol983 = [0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0] pubkeycol984 = [2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2] pubkeycol985 = [2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol986 = [0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol987 = [2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol988 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0] pubkeycol989 = [2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1] pubkeycol990 = [2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol991 = [1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1] pubkeycol992 = [1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0] pubkeycol993 = [0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2] pubkeycol994 = [1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2] pubkeycol995 = [2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol996 = [2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol997 = [1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol998 = [2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol999 = [0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol1000 = [0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0] pubkeycol1001 = [0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol1002 = [2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol1003 = [0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1] pubkeycol1004 = [0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol1005 = [2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0] pubkeycol1006 = [2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1] pubkeycol1007 = [0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol1008 = [0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2] pubkeycol1009 = [1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2] pubkeycol1010 = [2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol1011 = [1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2] pubkeycol1012 = [1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1] pubkeycol1013 = [2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0] pubkeycol1014 = [1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol1015 = [0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0] pubkeycol1016 = [0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0] pubkeycol1017 = [0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol1018 = [0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol1019 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol1020 = [0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0] pubkeycol1021 = [0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2] pubkeycol1022 = [2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol1023 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1] pubkeycol1024 = [1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol1025 = [0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1] pubkeycol1026 = [0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2] pubkeycol1027 = [1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0] pubkeycol1028 = [0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2] pubkeycol1029 = [2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0] pubkeycol1030 = [1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0] pubkeycol1031 = [1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0] pubkeycol1032 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol1033 = [1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol1034 = [1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2] pubkeycol1035 = [0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol1036 = [0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1037 = [1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol1038 = [2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol1039 = [2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1] pubkeycol1040 = [0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol1041 = [1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol1042 = [0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1] pubkeycol1043 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0] pubkeycol1044 = [2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2] pubkeycol1045 = [1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0] pubkeycol1046 = [1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2] pubkeycol1047 = [1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1] pubkeycol1048 = [1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1] pubkeycol1049 = [1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol1050 = [2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2] pubkeycol1051 = [1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2] pubkeycol1052 = [2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0] pubkeycol1053 = [1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol1054 = [0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0] pubkeycol1055 = [1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1] pubkeycol1056 = [2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1] pubkeycol1057 = [2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol1058 = [0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0] pubkeycol1059 = [2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1] pubkeycol1060 = [0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol1061 = [0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2] pubkeycol1062 = [2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol1063 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol1064 = [2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1] pubkeycol1065 = [1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol1066 = [2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0] pubkeycol1067 = [2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0] pubkeycol1068 = [1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1] pubkeycol1069 = [0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol1070 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol1071 = [2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0] pubkeycol1072 = [2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2] pubkeycol1073 = [0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1074 = [2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2] pubkeycol1075 = [2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol1076 = [2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol1077 = [0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol1078 = [1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1] pubkeycol1079 = [2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0] pubkeycol1080 = [0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol1081 = [0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1] pubkeycol1082 = [1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2] pubkeycol1083 = [2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1] pubkeycol1084 = [1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2] pubkeycol1085 = [2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2] pubkeycol1086 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2] pubkeycol1087 = [0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2] pubkeycol1088 = [0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0] pubkeycol1089 = [2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol1090 = [1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2] pubkeycol1091 = [0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1] pubkeycol1092 = [1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0] pubkeycol1093 = [0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol1094 = [0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol1095 = [2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol1096 = [0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1] pubkeycol1097 = [0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1] pubkeycol1098 = [0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1] pubkeycol1099 = [2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol1100 = [0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1] pubkeycol1101 = [2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol1102 = [1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol1103 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0] pubkeycol1104 = [0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol1105 = [1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol1106 = [1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1] pubkeycol1107 = [1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol1108 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2] pubkeycol1109 = [2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2] pubkeycol1110 = [2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1] pubkeycol1111 = [0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1] pubkeycol1112 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1] pubkeycol1113 = [2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0] pubkeycol1114 = [1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1115 = [1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2] pubkeycol1116 = [0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1] pubkeycol1117 = [0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2] pubkeycol1118 = [2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol1119 = [0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0] pubkeycol1120 = [0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2] pubkeycol1121 = [1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol1122 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0] pubkeycol1123 = [1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol1124 = [0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol1125 = [0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol1126 = [2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2] pubkeycol1127 = [1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0] pubkeycol1128 = [1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1] pubkeycol1129 = [1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0] pubkeycol1130 = [0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol1131 = [1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0] pubkeycol1132 = [2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2] pubkeycol1133 = [2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0] pubkeycol1134 = [0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2] pubkeycol1135 = [0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2] pubkeycol1136 = [0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2] pubkeycol1137 = [2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2] pubkeycol1138 = [0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2] pubkeycol1139 = [1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1] pubkeycol1140 = [2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1141 = [0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0] pubkeycol1142 = [1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol1143 = [2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol1144 = [0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0] pubkeycol1145 = [2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1] pubkeycol1146 = [2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2] pubkeycol1147 = [1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol1148 = [0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1] pubkeycol1149 = [2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0] pubkeycol1150 = [2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol1151 = [2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2] pubkeycol1152 = [1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2] pubkeycol1153 = [2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol1154 = [2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0] pubkeycol1155 = [1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0] pubkeycol1156 = [2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1] pubkeycol1157 = [0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2] pubkeycol1158 = [0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1] pubkeycol1159 = [2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0] pubkeycol1160 = [0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1] pubkeycol1161 = [1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2] pubkeycol1162 = [1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol1163 = [0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol1164 = [2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol1165 = [2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2] pubkeycol1166 = [2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1] pubkeycol1167 = [2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol1168 = [0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol1169 = [0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol1170 = [1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1] pubkeycol1171 = [2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2] pubkeycol1172 = [2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2] pubkeycol1173 = [0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2] pubkeycol1174 = [2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2] pubkeycol1175 = [1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0] pubkeycol1176 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol1177 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol1178 = [2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol1179 = [2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1] pubkeycol1180 = [2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0] pubkeycol1181 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0] pubkeycol1182 = [1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0] pubkeycol1183 = [0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0] pubkeycol1184 = [0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1] pubkeycol1185 = [2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2] pubkeycol1186 = [1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol1187 = [2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1] pubkeycol1188 = [1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1] pubkeycol1189 = [1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol1190 = [0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol1191 = [0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1] pubkeycol1192 = [0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0] pubkeycol1193 = [1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol1194 = [2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1195 = [2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1] pubkeycol1196 = [0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1] pubkeycol1197 = [1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2] pubkeycol1198 = [0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol1199 = [2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2] pubkeycol1200 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0] pubkeycol1201 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0] pubkeycol1202 = [0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2] pubkeycol1203 = [0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0] pubkeycol1204 = [0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol1205 = [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol1206 = [1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0] pubkeycol1207 = [2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2] pubkeycol1208 = [0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1] pubkeycol1209 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol1210 = [2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1] pubkeycol1211 = [2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2] pubkeycol1212 = [0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0] pubkeycol1213 = [0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0] pubkeycol1214 = [2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1] pubkeycol1215 = [2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1216 = [0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2] pubkeycol1217 = [2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1] pubkeycol1218 = [0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol1219 = [1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0] pubkeycol1220 = [0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol1221 = [1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol1222 = [0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0] pubkeycol1223 = [1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol1224 = [2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0] pubkeycol1225 = [2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1] pubkeycol1226 = [2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0] pubkeycol1227 = [1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2] pubkeycol1228 = [0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2] pubkeycol1229 = [2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0] pubkeycol1230 = [0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2] pubkeycol1231 = [1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1] pubkeycol1232 = [0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol1233 = [0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2] pubkeycol1234 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1] pubkeycol1235 = [1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0] pubkeycol1236 = [0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol1237 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0] pubkeycol1238 = [0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2] pubkeycol1239 = [2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0] pubkeycol1240 = [0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1