kilobytes = 67.6085566713868 q = 3 m = 7 n = 1376 s = 0 t = 24 u = 48 k = 1040 w = 36 ciphertext = [1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2] recovered_plaintext_using_secret_key = True pubkeycol336 = [1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0] pubkeycol337 = [2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol338 = [2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0] pubkeycol339 = [1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1] pubkeycol340 = [1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol341 = [2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1] pubkeycol342 = [1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol343 = [1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2] pubkeycol344 = [1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2] pubkeycol345 = [2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0] pubkeycol346 = [1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1] pubkeycol347 = [1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0] pubkeycol348 = [0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol349 = [2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0] pubkeycol350 = [2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol351 = [0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1] pubkeycol352 = [0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol353 = [1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol354 = [2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1] pubkeycol355 = [0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol356 = [2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0] pubkeycol357 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol358 = [0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2] pubkeycol359 = [2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol360 = [0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2] pubkeycol361 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2] pubkeycol362 = [2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1] pubkeycol363 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol364 = [2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1] pubkeycol365 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol366 = [2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol367 = [0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2] pubkeycol368 = [1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0] pubkeycol369 = [1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1] pubkeycol370 = [1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol371 = [1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0] pubkeycol372 = [0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol373 = [0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol374 = [1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol375 = [2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol376 = [2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0] pubkeycol377 = [1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1] pubkeycol378 = [2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1] pubkeycol379 = [0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2] pubkeycol380 = [0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2] pubkeycol381 = [1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1] pubkeycol382 = [2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0] pubkeycol383 = [0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol384 = [1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol385 = [2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol386 = [1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1] pubkeycol387 = [2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1] pubkeycol388 = [0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol389 = [2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1] pubkeycol390 = [0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0] pubkeycol391 = [0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2] pubkeycol392 = [2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2] pubkeycol393 = [0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2] pubkeycol394 = [2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol395 = [0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0] pubkeycol396 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol397 = [1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol398 = [1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1] pubkeycol399 = [2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0] pubkeycol400 = [1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2] pubkeycol401 = [2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2] pubkeycol402 = [2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol403 = [2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol404 = [2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1] pubkeycol405 = [2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1] pubkeycol406 = [2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2] pubkeycol407 = [0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1] pubkeycol408 = [0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol409 = [0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1] pubkeycol410 = [2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2] pubkeycol411 = [1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol412 = [0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1] pubkeycol413 = [1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0] pubkeycol414 = [2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol415 = [2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1] pubkeycol416 = [0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1] pubkeycol417 = [2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1] pubkeycol418 = [2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0] pubkeycol419 = [0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0] pubkeycol420 = [0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1] pubkeycol421 = [1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0] pubkeycol422 = [1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol423 = [2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1] pubkeycol424 = [2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0] pubkeycol425 = [0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol426 = [0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2] pubkeycol427 = [2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol428 = [2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1] pubkeycol429 = [1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0] pubkeycol430 = [0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol431 = [2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2] pubkeycol432 = [0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0] pubkeycol433 = [2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0] pubkeycol434 = [0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol435 = [0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol436 = [1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol437 = [2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol438 = [1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2] pubkeycol439 = [1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1] pubkeycol440 = [0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol441 = [2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1] pubkeycol442 = [0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1] pubkeycol443 = [0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol444 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0] pubkeycol445 = [1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0] pubkeycol446 = [0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol447 = [1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol448 = [0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2] pubkeycol449 = [2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol450 = [2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0] pubkeycol451 = [1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol452 = [0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2] pubkeycol453 = [2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol454 = [0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1] pubkeycol455 = [1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol456 = [2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol457 = [1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol458 = [1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol459 = [1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1] pubkeycol460 = [2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol461 = [1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1] pubkeycol462 = [0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol463 = [2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol464 = [0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol465 = [0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1] pubkeycol466 = [0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0] pubkeycol467 = [1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol468 = [0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2] pubkeycol469 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1] pubkeycol470 = [0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol471 = [1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol472 = [2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1] pubkeycol473 = [0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol474 = [2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol475 = [0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1] pubkeycol476 = [1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol477 = [0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1] pubkeycol478 = [1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol479 = [0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2] pubkeycol480 = [1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol481 = [0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2] pubkeycol482 = [2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2] pubkeycol483 = [1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2] pubkeycol484 = [2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1] pubkeycol485 = [1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1] pubkeycol486 = [2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol487 = [2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol488 = [1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol489 = [0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol490 = [0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol491 = [0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol492 = [2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2] pubkeycol493 = [2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2] pubkeycol494 = [1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1] pubkeycol495 = [0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1] pubkeycol496 = [1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1] pubkeycol497 = [2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol498 = [0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol499 = [0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1] pubkeycol500 = [1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0] pubkeycol501 = [2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2] pubkeycol502 = [2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2] pubkeycol503 = [2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1] pubkeycol504 = [0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2] pubkeycol505 = [1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1] pubkeycol506 = [0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1] pubkeycol507 = [0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0] pubkeycol508 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0] pubkeycol509 = [1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1] pubkeycol510 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol511 = [2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol512 = [0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0] pubkeycol513 = [2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2] pubkeycol514 = [1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0] pubkeycol515 = [2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol516 = [1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0] pubkeycol517 = [1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol518 = [1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol519 = [1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol520 = [0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0] pubkeycol521 = [1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol522 = [2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol523 = [2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol524 = [1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1] pubkeycol525 = [1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0] pubkeycol526 = [1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1] pubkeycol527 = [2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0] pubkeycol528 = [2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2] pubkeycol529 = [2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1] pubkeycol530 = [1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2] pubkeycol531 = [0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1] pubkeycol532 = [2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol533 = [0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0] pubkeycol534 = [0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol535 = [2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1] pubkeycol536 = [1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0] pubkeycol537 = [0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2] pubkeycol538 = [2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1] pubkeycol539 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0] pubkeycol540 = [2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol541 = [1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1] pubkeycol542 = [1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0] pubkeycol543 = [1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0] pubkeycol544 = [0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1] pubkeycol545 = [2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2] pubkeycol546 = [2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1] pubkeycol547 = [2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol548 = [2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1] pubkeycol549 = [1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0] pubkeycol550 = [0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0] pubkeycol551 = [0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1] pubkeycol552 = [1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2] pubkeycol553 = [1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1] pubkeycol554 = [2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2] pubkeycol555 = [0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol556 = [1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2] pubkeycol557 = [0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol558 = [1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol559 = [1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0] pubkeycol560 = [2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol561 = [0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1] pubkeycol562 = [2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0] pubkeycol563 = [2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0] pubkeycol564 = [2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2] pubkeycol565 = [1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol566 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol567 = [1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol568 = [0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol569 = [1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2] pubkeycol570 = [1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol571 = [2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol572 = [1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol573 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1] pubkeycol574 = [0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0] pubkeycol575 = [0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1] pubkeycol576 = [2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1] pubkeycol577 = [2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1] pubkeycol578 = [0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1] pubkeycol579 = [1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol580 = [2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol581 = [2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol582 = [1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0] pubkeycol583 = [0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1] pubkeycol584 = [1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1] pubkeycol585 = [0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0] pubkeycol586 = [1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol587 = [1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol588 = [2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol589 = [1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1] pubkeycol590 = [1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol591 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol592 = [2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2] pubkeycol593 = [2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol594 = [1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0] pubkeycol595 = [1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol596 = [0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0] pubkeycol597 = [0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2] pubkeycol598 = [0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1] pubkeycol599 = [0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2] pubkeycol600 = [1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0] pubkeycol601 = [1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2] pubkeycol602 = [1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol603 = [1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0] pubkeycol604 = [1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0] pubkeycol605 = [1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2] pubkeycol606 = [1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2] pubkeycol607 = [0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1] pubkeycol608 = [1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1] pubkeycol609 = [2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2] pubkeycol610 = [0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1] pubkeycol611 = [2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2] pubkeycol612 = [1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2] pubkeycol613 = [2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0] pubkeycol614 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1] pubkeycol615 = [0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0] pubkeycol616 = [1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2] pubkeycol617 = [0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0] pubkeycol618 = [1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol619 = [0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0] pubkeycol620 = [2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1] pubkeycol621 = [0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2] pubkeycol622 = [0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol623 = [1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2] pubkeycol624 = [2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1] pubkeycol625 = [1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1] pubkeycol626 = [0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2] pubkeycol627 = [2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2] pubkeycol628 = [1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol629 = [2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol630 = [2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2] pubkeycol631 = [1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol632 = [1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol633 = [2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol634 = [2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol635 = [2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0] pubkeycol636 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol637 = [1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1] pubkeycol638 = [1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0] pubkeycol639 = [2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1] pubkeycol640 = [0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol641 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1] pubkeycol642 = [1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol643 = [2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0] pubkeycol644 = [0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0] pubkeycol645 = [0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2] pubkeycol646 = [2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0] pubkeycol647 = [2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1] pubkeycol648 = [1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2] pubkeycol649 = [2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2] pubkeycol650 = [2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol651 = [1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1] pubkeycol652 = [2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol653 = [0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0] pubkeycol654 = [1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0] pubkeycol655 = [1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol656 = [0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0] pubkeycol657 = [1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2] pubkeycol658 = [0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol659 = [1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol660 = [0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0] pubkeycol661 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2] pubkeycol662 = [2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0] pubkeycol663 = [0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1] pubkeycol664 = [2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol665 = [0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0] pubkeycol666 = [2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2] pubkeycol667 = [2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0] pubkeycol668 = [1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1] pubkeycol669 = [0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2] pubkeycol670 = [0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol671 = [0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2] pubkeycol672 = [1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol673 = [1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol674 = [1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0] pubkeycol675 = [0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2] pubkeycol676 = [0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2] pubkeycol677 = [2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2] pubkeycol678 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1] pubkeycol679 = [0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2] pubkeycol680 = [0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0] pubkeycol681 = [1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol682 = [2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2] pubkeycol683 = [1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1] pubkeycol684 = [2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0] pubkeycol685 = [1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2] pubkeycol686 = [1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0] pubkeycol687 = [1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0] pubkeycol688 = [0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2] pubkeycol689 = [1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1] pubkeycol690 = [1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol691 = [0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1] pubkeycol692 = [1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol693 = [1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol694 = [1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1] pubkeycol695 = [2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol696 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2] pubkeycol697 = [2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol698 = [0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol699 = [1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol700 = [1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0] pubkeycol701 = [0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol702 = [0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol703 = [0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2] pubkeycol704 = [0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0] pubkeycol705 = [1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2] pubkeycol706 = [0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2] pubkeycol707 = [2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2] pubkeycol708 = [1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2] pubkeycol709 = [0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1] pubkeycol710 = [0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2] pubkeycol711 = [1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1] pubkeycol712 = [2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0] pubkeycol713 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1] pubkeycol714 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol715 = [1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0] pubkeycol716 = [1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2] pubkeycol717 = [0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1] pubkeycol718 = [2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2] pubkeycol719 = [0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol720 = [2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol721 = [2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2] pubkeycol722 = [1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2] pubkeycol723 = [1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0] pubkeycol724 = [0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0] pubkeycol725 = [0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2] pubkeycol726 = [1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1] pubkeycol727 = [2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol728 = [2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol729 = [2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2] pubkeycol730 = [1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2] pubkeycol731 = [0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1] pubkeycol732 = [0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1] pubkeycol733 = [0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol734 = [1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1] pubkeycol735 = [0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2] pubkeycol736 = [0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2] pubkeycol737 = [1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1] pubkeycol738 = [2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1] pubkeycol739 = [0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1] pubkeycol740 = [1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol741 = [2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1] pubkeycol742 = [1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2] pubkeycol743 = [0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol744 = [2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2] pubkeycol745 = [1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1] pubkeycol746 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol747 = [0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1] pubkeycol748 = [0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2] pubkeycol749 = [0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0] pubkeycol750 = [1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol751 = [1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2] pubkeycol752 = [1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2] pubkeycol753 = [1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0] pubkeycol754 = [0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol755 = [1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1] pubkeycol756 = [0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0] pubkeycol757 = [0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0] pubkeycol758 = [2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2] pubkeycol759 = [2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1] pubkeycol760 = [1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol761 = [0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2] pubkeycol762 = [0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0] pubkeycol763 = [2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol764 = [2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0] pubkeycol765 = [0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol766 = [0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1] pubkeycol767 = [1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2] pubkeycol768 = [2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol769 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1] pubkeycol770 = [0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1] pubkeycol771 = [2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1] pubkeycol772 = [0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0] pubkeycol773 = [2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2] pubkeycol774 = [1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2] pubkeycol775 = [1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2] pubkeycol776 = [2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol777 = [0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1] pubkeycol778 = [1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1] pubkeycol779 = [1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0] pubkeycol780 = [2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol781 = [0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1] pubkeycol782 = [1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2] pubkeycol783 = [1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2] pubkeycol784 = [2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2] pubkeycol785 = [1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0] pubkeycol786 = [1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0] pubkeycol787 = [0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0] pubkeycol788 = [2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol789 = [0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1] pubkeycol790 = [0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol791 = [1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1] pubkeycol792 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol793 = [2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2] pubkeycol794 = [1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0] pubkeycol795 = [2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1] pubkeycol796 = [0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1] pubkeycol797 = [0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol798 = [0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2] pubkeycol799 = [2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1] pubkeycol800 = [1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol801 = [0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1] pubkeycol802 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol803 = [2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0] pubkeycol804 = [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0] pubkeycol805 = [2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1] pubkeycol806 = [1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0] pubkeycol807 = [0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1] pubkeycol808 = [2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0] pubkeycol809 = [2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0] pubkeycol810 = [0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1] pubkeycol811 = [1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1] pubkeycol812 = [1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1] pubkeycol813 = [2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol814 = [0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1] pubkeycol815 = [1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2] pubkeycol816 = [2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1] pubkeycol817 = [0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2] pubkeycol818 = [0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol819 = [0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1] pubkeycol820 = [1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2] pubkeycol821 = [1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2] pubkeycol822 = [0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol823 = [1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol824 = [2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol825 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol826 = [1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol827 = [1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2] pubkeycol828 = [2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1] pubkeycol829 = [0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol830 = [2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1] pubkeycol831 = [0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol832 = [2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol833 = [2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2] pubkeycol834 = [0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2] pubkeycol835 = [0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol836 = [0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2] pubkeycol837 = [0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol838 = [1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0] pubkeycol839 = [0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1] pubkeycol840 = [1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0] pubkeycol841 = [2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1] pubkeycol842 = [1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2] pubkeycol843 = [1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol844 = [0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0] pubkeycol845 = [2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol846 = [0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol847 = [1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1] pubkeycol848 = [0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol849 = [2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0] pubkeycol850 = [1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2] pubkeycol851 = [0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1] pubkeycol852 = [1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol853 = [2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1] pubkeycol854 = [1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2] pubkeycol855 = [0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol856 = [0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1] pubkeycol857 = [1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2] pubkeycol858 = [1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0] pubkeycol859 = [1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2] pubkeycol860 = [2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0] pubkeycol861 = [2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol862 = [0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1] pubkeycol863 = [2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol864 = [2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol865 = [0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1] pubkeycol866 = [2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2] pubkeycol867 = [0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1] pubkeycol868 = [0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1] pubkeycol869 = [2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol870 = [0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0] pubkeycol871 = [1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0] pubkeycol872 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1] pubkeycol873 = [2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0] pubkeycol874 = [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2] pubkeycol875 = [0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0] pubkeycol876 = [2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0] pubkeycol877 = [1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1] pubkeycol878 = [0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1] pubkeycol879 = [2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1] pubkeycol880 = [2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2] pubkeycol881 = [0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1] pubkeycol882 = [0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1] pubkeycol883 = [2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol884 = [1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1] pubkeycol885 = [0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1] pubkeycol886 = [1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2] pubkeycol887 = [1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol888 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2] pubkeycol889 = [0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1] pubkeycol890 = [1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol891 = [2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0] pubkeycol892 = [1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol893 = [1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0] pubkeycol894 = [0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1] pubkeycol895 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2] pubkeycol896 = [1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol897 = [0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0] pubkeycol898 = [1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1] pubkeycol899 = [0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2] pubkeycol900 = [0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0] pubkeycol901 = [0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol902 = [1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0] pubkeycol903 = [2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol904 = [0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2] pubkeycol905 = [0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2] pubkeycol906 = [0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0] pubkeycol907 = [1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1] pubkeycol908 = [2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1] pubkeycol909 = [0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol910 = [0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1] pubkeycol911 = [0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2] pubkeycol912 = [0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2] pubkeycol913 = [0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2] pubkeycol914 = [0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1] pubkeycol915 = [0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0] pubkeycol916 = [2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2] pubkeycol917 = [1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol918 = [2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0] pubkeycol919 = [0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0] pubkeycol920 = [2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1] pubkeycol921 = [1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol922 = [0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1] pubkeycol923 = [0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0] pubkeycol924 = [0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol925 = [2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0] pubkeycol926 = [2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2] pubkeycol927 = [0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2] pubkeycol928 = [0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2] pubkeycol929 = [0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2] pubkeycol930 = [1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1] pubkeycol931 = [2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol932 = [1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2] pubkeycol933 = [1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1] pubkeycol934 = [0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol935 = [2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2] pubkeycol936 = [0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2] pubkeycol937 = [1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1] pubkeycol938 = [1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0] pubkeycol939 = [0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2] pubkeycol940 = [2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1] pubkeycol941 = [1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2] pubkeycol942 = [1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0] pubkeycol943 = [0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol944 = [0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0] pubkeycol945 = [2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2] pubkeycol946 = [2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2] pubkeycol947 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol948 = [0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0] pubkeycol949 = [2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1] pubkeycol950 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1] pubkeycol951 = [1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0] pubkeycol952 = [2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0] pubkeycol953 = [0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0] pubkeycol954 = [2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1] pubkeycol955 = [1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol956 = [0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol957 = [1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2] pubkeycol958 = [0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2] pubkeycol959 = [1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0] pubkeycol960 = [1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1] pubkeycol961 = [0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0] pubkeycol962 = [2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1] pubkeycol963 = [1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0] pubkeycol964 = [1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol965 = [1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2] pubkeycol966 = [1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2] pubkeycol967 = [0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2] pubkeycol968 = [1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0] pubkeycol969 = [0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1] pubkeycol970 = [1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1] pubkeycol971 = [1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2] pubkeycol972 = [2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1] pubkeycol973 = [1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol974 = [2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0] pubkeycol975 = [1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2] pubkeycol976 = [2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0] pubkeycol977 = [0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol978 = [0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol979 = [2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0] pubkeycol980 = [0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1] pubkeycol981 = [1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1] pubkeycol982 = [1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0] pubkeycol983 = [0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1] pubkeycol984 = [2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2] pubkeycol985 = [2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1] pubkeycol986 = [2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0] pubkeycol987 = [1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0] pubkeycol988 = [2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol989 = [0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol990 = [1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0] pubkeycol991 = [2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol992 = [1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0] pubkeycol993 = [0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1] pubkeycol994 = [1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0] pubkeycol995 = [1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2] pubkeycol996 = [1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0] pubkeycol997 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0] pubkeycol998 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1] pubkeycol999 = [1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0] pubkeycol1000 = [0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0] pubkeycol1001 = [1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0] pubkeycol1002 = [0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0] pubkeycol1003 = [1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1] pubkeycol1004 = [1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol1005 = [2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0] pubkeycol1006 = [0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol1007 = [0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0] pubkeycol1008 = [1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1] pubkeycol1009 = [0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1010 = [1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0] pubkeycol1011 = [0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0] pubkeycol1012 = [2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol1013 = [1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1] pubkeycol1014 = [1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1] pubkeycol1015 = [1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2] pubkeycol1016 = [0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0] pubkeycol1017 = [0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0] pubkeycol1018 = [1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2] pubkeycol1019 = [0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2] pubkeycol1020 = [2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2] pubkeycol1021 = [2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0] pubkeycol1022 = [2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2] pubkeycol1023 = [2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol1024 = [2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol1025 = [0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1] pubkeycol1026 = [1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1] pubkeycol1027 = [2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol1028 = [2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol1029 = [0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1] pubkeycol1030 = [2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1] pubkeycol1031 = [2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2] pubkeycol1032 = [2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0] pubkeycol1033 = [1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1] pubkeycol1034 = [0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol1035 = [0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1] pubkeycol1036 = [0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2] pubkeycol1037 = [1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1038 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1] pubkeycol1039 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1] pubkeycol1040 = [1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol1041 = [1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol1042 = [0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2] pubkeycol1043 = [2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1] pubkeycol1044 = [0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol1045 = [2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2] pubkeycol1046 = [2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2] pubkeycol1047 = [0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1] pubkeycol1048 = [2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2] pubkeycol1049 = [0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2] pubkeycol1050 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0] pubkeycol1051 = [2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1] pubkeycol1052 = [0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol1053 = [2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2] pubkeycol1054 = [2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0] pubkeycol1055 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2] pubkeycol1056 = [0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2] pubkeycol1057 = [2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2] pubkeycol1058 = [1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1] pubkeycol1059 = [0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1] pubkeycol1060 = [0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2] pubkeycol1061 = [0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1] pubkeycol1062 = [2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1] pubkeycol1063 = [2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol1064 = [0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol1065 = [2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0] pubkeycol1066 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2] pubkeycol1067 = [0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0] pubkeycol1068 = [0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol1069 = [0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol1070 = [0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol1071 = [2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1] pubkeycol1072 = [2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0] pubkeycol1073 = [2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0] pubkeycol1074 = [2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1] pubkeycol1075 = [1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol1076 = [1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2] pubkeycol1077 = [1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0] pubkeycol1078 = [1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0] pubkeycol1079 = [1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol1080 = [1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2] pubkeycol1081 = [2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol1082 = [2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2] pubkeycol1083 = [0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1] pubkeycol1084 = [2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1] pubkeycol1085 = [0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1] pubkeycol1086 = [2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0] pubkeycol1087 = [2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1] pubkeycol1088 = [0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2] pubkeycol1089 = [2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1] pubkeycol1090 = [0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0] pubkeycol1091 = [1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol1092 = [0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1] pubkeycol1093 = [0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1] pubkeycol1094 = [2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1] pubkeycol1095 = [2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0] pubkeycol1096 = [1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0] pubkeycol1097 = [0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol1098 = [2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0] pubkeycol1099 = [0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2] pubkeycol1100 = [1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2] pubkeycol1101 = [0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0] pubkeycol1102 = [1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1] pubkeycol1103 = [0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0] pubkeycol1104 = [2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0] pubkeycol1105 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1] pubkeycol1106 = [0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1] pubkeycol1107 = [1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0] pubkeycol1108 = [1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1] pubkeycol1109 = [2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1] pubkeycol1110 = [2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol1111 = [1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1] pubkeycol1112 = [0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1] pubkeycol1113 = [0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1] pubkeycol1114 = [2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol1115 = [1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1116 = [0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2] pubkeycol1117 = [1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1] pubkeycol1118 = [1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0] pubkeycol1119 = [1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0] pubkeycol1120 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol1121 = [0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0] pubkeycol1122 = [0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2] pubkeycol1123 = [1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1] pubkeycol1124 = [0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0] pubkeycol1125 = [0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol1126 = [0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2] pubkeycol1127 = [2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0] pubkeycol1128 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2] pubkeycol1129 = [2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol1130 = [1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2] pubkeycol1131 = [1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1] pubkeycol1132 = [0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2] pubkeycol1133 = [2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2] pubkeycol1134 = [1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2] pubkeycol1135 = [0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1] pubkeycol1136 = [0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol1137 = [0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol1138 = [1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol1139 = [0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1] pubkeycol1140 = [1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0] pubkeycol1141 = [1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol1142 = [0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2] pubkeycol1143 = [1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0] pubkeycol1144 = [2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1] pubkeycol1145 = [1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0] pubkeycol1146 = [0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0] pubkeycol1147 = [0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1] pubkeycol1148 = [0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol1149 = [2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2] pubkeycol1150 = [2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0] pubkeycol1151 = [2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2] pubkeycol1152 = [0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0] pubkeycol1153 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0] pubkeycol1154 = [2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2] pubkeycol1155 = [1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0] pubkeycol1156 = [0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2] pubkeycol1157 = [2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0] pubkeycol1158 = [2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol1159 = [0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol1160 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2] pubkeycol1161 = [0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0] pubkeycol1162 = [0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1] pubkeycol1163 = [1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0] pubkeycol1164 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1] pubkeycol1165 = [2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0] pubkeycol1166 = [0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2] pubkeycol1167 = [0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1168 = [1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1] pubkeycol1169 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0] pubkeycol1170 = [0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2] pubkeycol1171 = [2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0] pubkeycol1172 = [0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0] pubkeycol1173 = [0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1] pubkeycol1174 = [0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0] pubkeycol1175 = [0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol1176 = [1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1] pubkeycol1177 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol1178 = [1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0] pubkeycol1179 = [1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol1180 = [1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0] pubkeycol1181 = [2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1] pubkeycol1182 = [0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0] pubkeycol1183 = [0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol1184 = [1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1] pubkeycol1185 = [1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2] pubkeycol1186 = [0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0] pubkeycol1187 = [0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1] pubkeycol1188 = [1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol1189 = [1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol1190 = [1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol1191 = [1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol1192 = [2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0] pubkeycol1193 = [0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2] pubkeycol1194 = [2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2] pubkeycol1195 = [1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol1196 = [0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol1197 = [0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2] pubkeycol1198 = [0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2] pubkeycol1199 = [0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1200 = [0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2] pubkeycol1201 = [0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol1202 = [1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol1203 = [2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2] pubkeycol1204 = [1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1] pubkeycol1205 = [0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1] pubkeycol1206 = [0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol1207 = [0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1] pubkeycol1208 = [1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2] pubkeycol1209 = [2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1] pubkeycol1210 = [1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1] pubkeycol1211 = [2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0] pubkeycol1212 = [0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1] pubkeycol1213 = [2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol1214 = [1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2] pubkeycol1215 = [1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1] pubkeycol1216 = [2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2] pubkeycol1217 = [0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2] pubkeycol1218 = [2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2] pubkeycol1219 = [1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol1220 = [2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0] pubkeycol1221 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1] pubkeycol1222 = [0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1] pubkeycol1223 = [1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol1224 = [1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0] pubkeycol1225 = [2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2] pubkeycol1226 = [0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2] pubkeycol1227 = [1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1] pubkeycol1228 = [1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol1229 = [2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol1230 = [1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2] pubkeycol1231 = [1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1] pubkeycol1232 = [1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0] pubkeycol1233 = [2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0] pubkeycol1234 = [1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1] pubkeycol1235 = [0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2] pubkeycol1236 = [1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1] pubkeycol1237 = [0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1] pubkeycol1238 = [2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0] pubkeycol1239 = [1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1240 = [0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2] pubkeycol1241 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1] pubkeycol1242 = [1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1] pubkeycol1243 = [1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1] pubkeycol1244 = [0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol1245 = [2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol1246 = [2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1] pubkeycol1247 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2] pubkeycol1248 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0] pubkeycol1249 = [2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1] pubkeycol1250 = [2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0] pubkeycol1251 = [0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0] pubkeycol1252 = [2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1] pubkeycol1253 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2] pubkeycol1254 = [1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1] pubkeycol1255 = [2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1] pubkeycol1256 = [2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1] pubkeycol1257 = [1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2] pubkeycol1258 = [1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1] pubkeycol1259 = [0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1260 = [2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol1261 = [1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0] pubkeycol1262 = [1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0] pubkeycol1263 = [1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0] pubkeycol1264 = [1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2] pubkeycol1265 = [2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2] pubkeycol1266 = [0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol1267 = [2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2] pubkeycol1268 = [0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2] pubkeycol1269 = [2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1] pubkeycol1270 = [2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2] pubkeycol1271 = [1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1] pubkeycol1272 = [1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1] pubkeycol1273 = [2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2] pubkeycol1274 = [0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0] pubkeycol1275 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2] pubkeycol1276 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2] pubkeycol1277 = [2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol1278 = [0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1279 = [1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1] pubkeycol1280 = [1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1] pubkeycol1281 = [0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0] pubkeycol1282 = [1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2] pubkeycol1283 = [1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol1284 = [0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1] pubkeycol1285 = [1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1] pubkeycol1286 = [2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1] pubkeycol1287 = [0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0] pubkeycol1288 = [1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1] pubkeycol1289 = [1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0] pubkeycol1290 = [2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2] pubkeycol1291 = [1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol1292 = [0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0] pubkeycol1293 = [1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2] pubkeycol1294 = [0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2] pubkeycol1295 = [1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2] pubkeycol1296 = [2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2] pubkeycol1297 = [0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol1298 = [0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol1299 = [2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2] pubkeycol1300 = [0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0] pubkeycol1301 = [0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0] pubkeycol1302 = [1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0] pubkeycol1303 = [2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1304 = [2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0] pubkeycol1305 = [1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0] pubkeycol1306 = [1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2] pubkeycol1307 = [0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol1308 = [1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2] pubkeycol1309 = [0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1] pubkeycol1310 = [1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2] pubkeycol1311 = [0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2] pubkeycol1312 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0] pubkeycol1313 = [2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol1314 = [1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0] pubkeycol1315 = [0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol1316 = [1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2] pubkeycol1317 = [1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol1318 = [0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0] pubkeycol1319 = [2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1] pubkeycol1320 = [0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0] pubkeycol1321 = [0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0] pubkeycol1322 = [2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2] pubkeycol1323 = [2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1] pubkeycol1324 = [2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0] pubkeycol1325 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2] pubkeycol1326 = [1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0] pubkeycol1327 = [2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol1328 = [0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1] pubkeycol1329 = [2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0] pubkeycol1330 = [2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol1331 = [1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0] pubkeycol1332 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1] pubkeycol1333 = [1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2] pubkeycol1334 = [1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0] pubkeycol1335 = [0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2] pubkeycol1336 = [0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol1337 = [2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2] pubkeycol1338 = [1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2] pubkeycol1339 = [0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0] pubkeycol1340 = [2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1341 = [0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2] pubkeycol1342 = [0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol1343 = [1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2] pubkeycol1344 = [2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1345 = [2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0] pubkeycol1346 = [2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2] pubkeycol1347 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol1348 = [2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0] pubkeycol1349 = [0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol1350 = [2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1] pubkeycol1351 = [2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1] pubkeycol1352 = [2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol1353 = [0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2] pubkeycol1354 = [1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2] pubkeycol1355 = [0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1] pubkeycol1356 = [2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0] pubkeycol1357 = [2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2] pubkeycol1358 = [0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol1359 = [2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2] pubkeycol1360 = [2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol1361 = [0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0] pubkeycol1362 = [2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2] pubkeycol1363 = [0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0] pubkeycol1364 = [1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0] pubkeycol1365 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol1366 = [0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1] pubkeycol1367 = [0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2] pubkeycol1368 = [2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1] pubkeycol1369 = [0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2] pubkeycol1370 = [2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1] pubkeycol1371 = [1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol1372 = [2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol1373 = [2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1] pubkeycol1374 = [2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol1375 = [0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1]