kilobytes = 67.9986060367987 q = 3 m = 7 n = 1382 s = 0 t = 24 u = 48 k = 1046 w = 36 ciphertext = [0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1] recovered_plaintext_using_secret_key = True pubkeycol336 = [1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0] pubkeycol337 = [2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0] pubkeycol338 = [2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2] pubkeycol339 = [2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1] pubkeycol340 = [2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1] pubkeycol341 = [1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2] pubkeycol342 = [2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol343 = [2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2] pubkeycol344 = [2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2] pubkeycol345 = [2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol346 = [2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1] pubkeycol347 = [1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2] pubkeycol348 = [0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2] pubkeycol349 = [1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1] pubkeycol350 = [1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol351 = [0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0] pubkeycol352 = [0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2] pubkeycol353 = [2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0] pubkeycol354 = [2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0] pubkeycol355 = [1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2] pubkeycol356 = [2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2] pubkeycol357 = [1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1] pubkeycol358 = [2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1] pubkeycol359 = [0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol360 = [1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2] pubkeycol361 = [2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0] pubkeycol362 = [2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol363 = [0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0] pubkeycol364 = [2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0] pubkeycol365 = [2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol366 = [0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2] pubkeycol367 = [2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol368 = [0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2] pubkeycol369 = [1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol370 = [1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1] pubkeycol371 = [2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol372 = [2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0] pubkeycol373 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0] pubkeycol374 = [0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1] pubkeycol375 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0] pubkeycol376 = [1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1] pubkeycol377 = [0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1] pubkeycol378 = [1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1] pubkeycol379 = [2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol380 = [1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2] pubkeycol381 = [1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1] pubkeycol382 = [2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0] pubkeycol383 = [1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol384 = [1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1] pubkeycol385 = [2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0] pubkeycol386 = [0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0] pubkeycol387 = [0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1] pubkeycol388 = [0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0] pubkeycol389 = [2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0] pubkeycol390 = [2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2] pubkeycol391 = [2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2] pubkeycol392 = [1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0] pubkeycol393 = [0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol394 = [2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1] pubkeycol395 = [2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0] pubkeycol396 = [2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0] pubkeycol397 = [0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol398 = [1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0] pubkeycol399 = [1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1] pubkeycol400 = [0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol401 = [2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol402 = [1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1] pubkeycol403 = [1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1] pubkeycol404 = [1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1] pubkeycol405 = [0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2] pubkeycol406 = [1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0] pubkeycol407 = [1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1] pubkeycol408 = [0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1] pubkeycol409 = [0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol410 = [0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1] pubkeycol411 = [2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0] pubkeycol412 = [1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0] pubkeycol413 = [0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1] pubkeycol414 = [1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1] pubkeycol415 = [0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1] pubkeycol416 = [0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0] pubkeycol417 = [1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2] pubkeycol418 = [1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2] pubkeycol419 = [0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0] pubkeycol420 = [1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol421 = [0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol422 = [2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0] pubkeycol423 = [0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol424 = [2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol425 = [0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol426 = [0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol427 = [0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0] pubkeycol428 = [0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0] pubkeycol429 = [0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol430 = [0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2] pubkeycol431 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2] pubkeycol432 = [1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0] pubkeycol433 = [1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2] pubkeycol434 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2] pubkeycol435 = [1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1] pubkeycol436 = [0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol437 = [2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1] pubkeycol438 = [0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2] pubkeycol439 = [2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2] pubkeycol440 = [1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol441 = [2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol442 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1] pubkeycol443 = [2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1] pubkeycol444 = [1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1] pubkeycol445 = [2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0] pubkeycol446 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0] pubkeycol447 = [2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2] pubkeycol448 = [0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2] pubkeycol449 = [0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1] pubkeycol450 = [1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol451 = [2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2] pubkeycol452 = [1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1] pubkeycol453 = [1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0] pubkeycol454 = [0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol455 = [1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0] pubkeycol456 = [0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2] pubkeycol457 = [0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2] pubkeycol458 = [2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0] pubkeycol459 = [1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1] pubkeycol460 = [1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1] pubkeycol461 = [1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol462 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0] pubkeycol463 = [2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol464 = [0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1] pubkeycol465 = [1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol466 = [1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1] pubkeycol467 = [1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol468 = [1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1] pubkeycol469 = [0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0] pubkeycol470 = [0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1] pubkeycol471 = [0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0] pubkeycol472 = [1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2] pubkeycol473 = [1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1] pubkeycol474 = [0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol475 = [1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol476 = [1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0] pubkeycol477 = [1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2] pubkeycol478 = [0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2] pubkeycol479 = [2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1] pubkeycol480 = [1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2] pubkeycol481 = [1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol482 = [1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0] pubkeycol483 = [1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2] pubkeycol484 = [1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2] pubkeycol485 = [1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1] pubkeycol486 = [2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0] pubkeycol487 = [2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol488 = [0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2] pubkeycol489 = [2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2] pubkeycol490 = [1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol491 = [2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1] pubkeycol492 = [2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2] pubkeycol493 = [1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2] pubkeycol494 = [1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol495 = [2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0] pubkeycol496 = [0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0] pubkeycol497 = [2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol498 = [0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2] pubkeycol499 = [0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol500 = [2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2] pubkeycol501 = [0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol502 = [1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1] pubkeycol503 = [0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2] pubkeycol504 = [1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1] pubkeycol505 = [0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol506 = [0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0] pubkeycol507 = [0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol508 = [1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0] pubkeycol509 = [0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0] pubkeycol510 = [1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1] pubkeycol511 = [0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0] pubkeycol512 = [0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2] pubkeycol513 = [2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0] pubkeycol514 = [0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1] pubkeycol515 = [2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2] pubkeycol516 = [2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol517 = [2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol518 = [1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2] pubkeycol519 = [0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol520 = [0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1] pubkeycol521 = [2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0] pubkeycol522 = [2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2] pubkeycol523 = [1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2] pubkeycol524 = [0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0] pubkeycol525 = [1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol526 = [0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0] pubkeycol527 = [2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2] pubkeycol528 = [0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol529 = [1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2] pubkeycol530 = [0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1] pubkeycol531 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2] pubkeycol532 = [2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0] pubkeycol533 = [1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol534 = [1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1] pubkeycol535 = [0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1] pubkeycol536 = [1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol537 = [1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2] pubkeycol538 = [0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2] pubkeycol539 = [2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2] pubkeycol540 = [0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0] pubkeycol541 = [0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol542 = [1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2] pubkeycol543 = [2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0] pubkeycol544 = [2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol545 = [0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol546 = [2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1] pubkeycol547 = [0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2] pubkeycol548 = [0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2] pubkeycol549 = [0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol550 = [0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol551 = [1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2] pubkeycol552 = [0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0] pubkeycol553 = [2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0] pubkeycol554 = [2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0] pubkeycol555 = [0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1] pubkeycol556 = [2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol557 = [0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2] pubkeycol558 = [0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1] pubkeycol559 = [2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0] pubkeycol560 = [1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol561 = [1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2] pubkeycol562 = [2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1] pubkeycol563 = [2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol564 = [0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0] pubkeycol565 = [2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1] pubkeycol566 = [2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1] pubkeycol567 = [1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0] pubkeycol568 = [0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1] pubkeycol569 = [2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2] pubkeycol570 = [1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0] pubkeycol571 = [0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1] pubkeycol572 = [2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0] pubkeycol573 = [2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2] pubkeycol574 = [0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2] pubkeycol575 = [1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0] pubkeycol576 = [1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2] pubkeycol577 = [1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0] pubkeycol578 = [2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2] pubkeycol579 = [2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1] pubkeycol580 = [0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol581 = [2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2] pubkeycol582 = [2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1] pubkeycol583 = [1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1] pubkeycol584 = [0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1] pubkeycol585 = [0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2] pubkeycol586 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2] pubkeycol587 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol588 = [1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0] pubkeycol589 = [1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1] pubkeycol590 = [1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol591 = [1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0] pubkeycol592 = [1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0] pubkeycol593 = [2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1] pubkeycol594 = [0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2] pubkeycol595 = [1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1] pubkeycol596 = [1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0] pubkeycol597 = [1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1] pubkeycol598 = [2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0] pubkeycol599 = [2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol600 = [0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0] pubkeycol601 = [0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol602 = [2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1] pubkeycol603 = [1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2] pubkeycol604 = [0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1] pubkeycol605 = [0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol606 = [1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0] pubkeycol607 = [2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0] pubkeycol608 = [0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0] pubkeycol609 = [2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2] pubkeycol610 = [1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1] pubkeycol611 = [2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0] pubkeycol612 = [1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol613 = [0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2] pubkeycol614 = [2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2] pubkeycol615 = [1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol616 = [1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2] pubkeycol617 = [1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2] pubkeycol618 = [2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2] pubkeycol619 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2] pubkeycol620 = [0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol621 = [1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2] pubkeycol622 = [2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol623 = [1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2] pubkeycol624 = [0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1] pubkeycol625 = [0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0] pubkeycol626 = [1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol627 = [1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2] pubkeycol628 = [0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol629 = [2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1] pubkeycol630 = [0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1] pubkeycol631 = [1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0] pubkeycol632 = [0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2] pubkeycol633 = [2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0] pubkeycol634 = [1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2] pubkeycol635 = [0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1] pubkeycol636 = [0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2] pubkeycol637 = [0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0] pubkeycol638 = [1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0] pubkeycol639 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1] pubkeycol640 = [1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol641 = [2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2] pubkeycol642 = [0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol643 = [1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2] pubkeycol644 = [1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2] pubkeycol645 = [2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol646 = [0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0] pubkeycol647 = [2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2] pubkeycol648 = [1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol649 = [0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1] pubkeycol650 = [0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1] pubkeycol651 = [0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol652 = [1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0] pubkeycol653 = [2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1] pubkeycol654 = [2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1] pubkeycol655 = [0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1] pubkeycol656 = [0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0] pubkeycol657 = [0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol658 = [1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1] pubkeycol659 = [0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol660 = [2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol661 = [1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1] pubkeycol662 = [2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1] pubkeycol663 = [2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1] pubkeycol664 = [0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2] pubkeycol665 = [0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1] pubkeycol666 = [2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol667 = [0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1] pubkeycol668 = [2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2] pubkeycol669 = [2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2] pubkeycol670 = [2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol671 = [1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1] pubkeycol672 = [1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1] pubkeycol673 = [1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0] pubkeycol674 = [2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2] pubkeycol675 = [2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1] pubkeycol676 = [1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol677 = [0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1] pubkeycol678 = [0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol679 = [0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2] pubkeycol680 = [1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol681 = [1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2] pubkeycol682 = [1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol683 = [1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1] pubkeycol684 = [0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2] pubkeycol685 = [2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2] pubkeycol686 = [0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1] pubkeycol687 = [0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2] pubkeycol688 = [0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1] pubkeycol689 = [2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1] pubkeycol690 = [2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1] pubkeycol691 = [2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1] pubkeycol692 = [1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0] pubkeycol693 = [2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1] pubkeycol694 = [0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2] pubkeycol695 = [1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1] pubkeycol696 = [0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2] pubkeycol697 = [1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2] pubkeycol698 = [1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2] pubkeycol699 = [1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol700 = [0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2] pubkeycol701 = [0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2] pubkeycol702 = [1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2] pubkeycol703 = [0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0] pubkeycol704 = [1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0] pubkeycol705 = [2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol706 = [0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1] pubkeycol707 = [1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2] pubkeycol708 = [0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1] pubkeycol709 = [0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2] pubkeycol710 = [1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2] pubkeycol711 = [1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2] pubkeycol712 = [1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1] pubkeycol713 = [0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0] pubkeycol714 = [2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1] pubkeycol715 = [1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1] pubkeycol716 = [2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol717 = [0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2] pubkeycol718 = [1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol719 = [0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0] pubkeycol720 = [0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1] pubkeycol721 = [2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2] pubkeycol722 = [2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2] pubkeycol723 = [0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1] pubkeycol724 = [0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0] pubkeycol725 = [0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol726 = [2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol727 = [2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0] pubkeycol728 = [1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol729 = [0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol730 = [0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2] pubkeycol731 = [2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2] pubkeycol732 = [0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1] pubkeycol733 = [1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2] pubkeycol734 = [0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2] pubkeycol735 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol736 = [0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1] pubkeycol737 = [2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0] pubkeycol738 = [2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0] pubkeycol739 = [0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1] pubkeycol740 = [1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2] pubkeycol741 = [2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol742 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2] pubkeycol743 = [1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1] pubkeycol744 = [2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1] pubkeycol745 = [1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1] pubkeycol746 = [1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0] pubkeycol747 = [0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1] pubkeycol748 = [0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2] pubkeycol749 = [1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol750 = [0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1] pubkeycol751 = [2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1] pubkeycol752 = [2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0] pubkeycol753 = [2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1] pubkeycol754 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0] pubkeycol755 = [0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1] pubkeycol756 = [1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol757 = [0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0] pubkeycol758 = [1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2] pubkeycol759 = [2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0] pubkeycol760 = [1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1] pubkeycol761 = [2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1] pubkeycol762 = [1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2] pubkeycol763 = [2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol764 = [0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1] pubkeycol765 = [1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0] pubkeycol766 = [0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1] pubkeycol767 = [0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0] pubkeycol768 = [1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2] pubkeycol769 = [1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2] pubkeycol770 = [2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol771 = [0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1] pubkeycol772 = [2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2] pubkeycol773 = [2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1] pubkeycol774 = [0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0] pubkeycol775 = [2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0] pubkeycol776 = [0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1] pubkeycol777 = [0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2] pubkeycol778 = [0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1] pubkeycol779 = [0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1] pubkeycol780 = [2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2] pubkeycol781 = [1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol782 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2] pubkeycol783 = [1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol784 = [2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0] pubkeycol785 = [0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2] pubkeycol786 = [0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol787 = [0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2] pubkeycol788 = [0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol789 = [1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0] pubkeycol790 = [1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0] pubkeycol791 = [2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2] pubkeycol792 = [0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2] pubkeycol793 = [1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0] pubkeycol794 = [0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2] pubkeycol795 = [1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2] pubkeycol796 = [0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1] pubkeycol797 = [2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2] pubkeycol798 = [1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol799 = [0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1] pubkeycol800 = [2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2] pubkeycol801 = [2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0] pubkeycol802 = [1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1] pubkeycol803 = [0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1] pubkeycol804 = [2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol805 = [1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2] pubkeycol806 = [1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0] pubkeycol807 = [1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2] pubkeycol808 = [2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0] pubkeycol809 = [1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2] pubkeycol810 = [1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1] pubkeycol811 = [0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol812 = [2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1] pubkeycol813 = [2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1] pubkeycol814 = [0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2] pubkeycol815 = [0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0] pubkeycol816 = [1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0] pubkeycol817 = [1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2] pubkeycol818 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2] pubkeycol819 = [0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0] pubkeycol820 = [1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0] pubkeycol821 = [0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1] pubkeycol822 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2] pubkeycol823 = [0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1] pubkeycol824 = [2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2] pubkeycol825 = [0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1] pubkeycol826 = [1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2] pubkeycol827 = [0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1] pubkeycol828 = [0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0] pubkeycol829 = [0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol830 = [0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2] pubkeycol831 = [0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol832 = [1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1] pubkeycol833 = [1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol834 = [2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1] pubkeycol835 = [2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1] pubkeycol836 = [2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0] pubkeycol837 = [2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2] pubkeycol838 = [0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1] pubkeycol839 = [2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2] pubkeycol840 = [0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol841 = [2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0] pubkeycol842 = [1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0] pubkeycol843 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0] pubkeycol844 = [0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol845 = [1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1] pubkeycol846 = [0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0] pubkeycol847 = [2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol848 = [2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1] pubkeycol849 = [1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol850 = [1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1] pubkeycol851 = [2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol852 = [0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol853 = [1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1] pubkeycol854 = [1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1] pubkeycol855 = [0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0] pubkeycol856 = [2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol857 = [0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0] pubkeycol858 = [2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1] pubkeycol859 = [0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1] pubkeycol860 = [2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2] pubkeycol861 = [2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol862 = [2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2] pubkeycol863 = [1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0] pubkeycol864 = [1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol865 = [0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0] pubkeycol866 = [0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0] pubkeycol867 = [2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol868 = [2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0] pubkeycol869 = [0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1] pubkeycol870 = [2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol871 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0] pubkeycol872 = [0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2] pubkeycol873 = [1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2] pubkeycol874 = [1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2] pubkeycol875 = [1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0] pubkeycol876 = [1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2] pubkeycol877 = [2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol878 = [1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0] pubkeycol879 = [1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2] pubkeycol880 = [1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0] pubkeycol881 = [2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2] pubkeycol882 = [2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0] pubkeycol883 = [1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1] pubkeycol884 = [2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1] pubkeycol885 = [0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2] pubkeycol886 = [1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol887 = [2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2] pubkeycol888 = [2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0] pubkeycol889 = [0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol890 = [0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1] pubkeycol891 = [0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2] pubkeycol892 = [0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1] pubkeycol893 = [1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0] pubkeycol894 = [1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol895 = [1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0] pubkeycol896 = [0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0] pubkeycol897 = [0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol898 = [2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1] pubkeycol899 = [2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0] pubkeycol900 = [2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0] pubkeycol901 = [2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0] pubkeycol902 = [1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] pubkeycol903 = [2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0] pubkeycol904 = [0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1] pubkeycol905 = [1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0] pubkeycol906 = [1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1] pubkeycol907 = [0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0] pubkeycol908 = [2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol909 = [0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2] pubkeycol910 = [0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol911 = [0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1] pubkeycol912 = [2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0] pubkeycol913 = [1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2] pubkeycol914 = [1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0] pubkeycol915 = [0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1] pubkeycol916 = [2, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1] pubkeycol917 = [1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1] pubkeycol918 = [0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0] pubkeycol919 = [0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1] pubkeycol920 = [1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2] pubkeycol921 = [2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol922 = [0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2] pubkeycol923 = [2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1] pubkeycol924 = [0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0] pubkeycol925 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0] pubkeycol926 = [0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1] pubkeycol927 = [0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol928 = [1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2] pubkeycol929 = [2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol930 = [1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol931 = [0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1] pubkeycol932 = [1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2] pubkeycol933 = [0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol934 = [0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2] pubkeycol935 = [1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0] pubkeycol936 = [2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol937 = [0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2] pubkeycol938 = [1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1] pubkeycol939 = [0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2] pubkeycol940 = [0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2] pubkeycol941 = [2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1] pubkeycol942 = [0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1] pubkeycol943 = [1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2] pubkeycol944 = [2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1] pubkeycol945 = [1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2] pubkeycol946 = [2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol947 = [1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0] pubkeycol948 = [2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2] pubkeycol949 = [2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2] pubkeycol950 = [1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1] pubkeycol951 = [2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0] pubkeycol952 = [2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0] pubkeycol953 = [2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0] pubkeycol954 = [1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2] pubkeycol955 = [0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0] pubkeycol956 = [2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0] pubkeycol957 = [2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol958 = [0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol959 = [0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0] pubkeycol960 = [1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0] pubkeycol961 = [0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1] pubkeycol962 = [0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1] pubkeycol963 = [2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0] pubkeycol964 = [2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0] pubkeycol965 = [0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2] pubkeycol966 = [1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol967 = [0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2] pubkeycol968 = [0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2] pubkeycol969 = [2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2] pubkeycol970 = [0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1] pubkeycol971 = [1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1] pubkeycol972 = [0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2] pubkeycol973 = [1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol974 = [0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0] pubkeycol975 = [1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2] pubkeycol976 = [1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol977 = [2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol978 = [0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1] pubkeycol979 = [0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1] pubkeycol980 = [1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1] pubkeycol981 = [0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2] pubkeycol982 = [2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0] pubkeycol983 = [1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2] pubkeycol984 = [2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol985 = [2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2] pubkeycol986 = [1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0] pubkeycol987 = [1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2] pubkeycol988 = [0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1] pubkeycol989 = [2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2] pubkeycol990 = [1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2] pubkeycol991 = [1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1] pubkeycol992 = [2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0] pubkeycol993 = [0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2] pubkeycol994 = [0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2] pubkeycol995 = [2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1] pubkeycol996 = [2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2] pubkeycol997 = [0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2] pubkeycol998 = [2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1] pubkeycol999 = [1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0] pubkeycol1000 = [1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol1001 = [0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2] pubkeycol1002 = [1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol1003 = [0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol1004 = [0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1] pubkeycol1005 = [2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1006 = [1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2] pubkeycol1007 = [0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol1008 = [1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0] pubkeycol1009 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1] pubkeycol1010 = [2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0] pubkeycol1011 = [0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1] pubkeycol1012 = [2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1013 = [2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1] pubkeycol1014 = [0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2] pubkeycol1015 = [0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0] pubkeycol1016 = [1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1] pubkeycol1017 = [1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0] pubkeycol1018 = [0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0] pubkeycol1019 = [1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2] pubkeycol1020 = [1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1] pubkeycol1021 = [0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol1022 = [0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1] pubkeycol1023 = [0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1] pubkeycol1024 = [0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1] pubkeycol1025 = [0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0] pubkeycol1026 = [0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0] pubkeycol1027 = [0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2] pubkeycol1028 = [2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2] pubkeycol1029 = [1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1] pubkeycol1030 = [2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0] pubkeycol1031 = [1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0] pubkeycol1032 = [1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2] pubkeycol1033 = [1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2] pubkeycol1034 = [2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2] pubkeycol1035 = [0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol1036 = [2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1] pubkeycol1037 = [1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2] pubkeycol1038 = [1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol1039 = [1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0] pubkeycol1040 = [1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1] pubkeycol1041 = [1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2] pubkeycol1042 = [1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2] pubkeycol1043 = [0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0] pubkeycol1044 = [1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2] pubkeycol1045 = [0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0] pubkeycol1046 = [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol1047 = [0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2] pubkeycol1048 = [2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0] pubkeycol1049 = [0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1] pubkeycol1050 = [2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0] pubkeycol1051 = [1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0] pubkeycol1052 = [2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0] pubkeycol1053 = [0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2] pubkeycol1054 = [2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0] pubkeycol1055 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2] pubkeycol1056 = [1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0] pubkeycol1057 = [2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol1058 = [1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1] pubkeycol1059 = [1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0] pubkeycol1060 = [1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0] pubkeycol1061 = [2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0] pubkeycol1062 = [0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2] pubkeycol1063 = [2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2] pubkeycol1064 = [1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2] pubkeycol1065 = [2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1066 = [2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1] pubkeycol1067 = [1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0] pubkeycol1068 = [2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1] pubkeycol1069 = [1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0] pubkeycol1070 = [1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0] pubkeycol1071 = [2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0] pubkeycol1072 = [1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1] pubkeycol1073 = [1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2] pubkeycol1074 = [2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0] pubkeycol1075 = [1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2] pubkeycol1076 = [1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1] pubkeycol1077 = [1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2] pubkeycol1078 = [1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0] pubkeycol1079 = [2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0] pubkeycol1080 = [2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2] pubkeycol1081 = [2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol1082 = [2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol1083 = [1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol1084 = [2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 0] pubkeycol1085 = [2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1] pubkeycol1086 = [2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1] pubkeycol1087 = [2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0] pubkeycol1088 = [2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0] pubkeycol1089 = [0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0] pubkeycol1090 = [2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol1091 = [1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1] pubkeycol1092 = [0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol1093 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0] pubkeycol1094 = [2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2] pubkeycol1095 = [0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2] pubkeycol1096 = [2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1] pubkeycol1097 = [2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2] pubkeycol1098 = [1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol1099 = [2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2] pubkeycol1100 = [1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1] pubkeycol1101 = [0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0] pubkeycol1102 = [1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1] pubkeycol1103 = [0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2] pubkeycol1104 = [0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2] pubkeycol1105 = [1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1] pubkeycol1106 = [0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1] pubkeycol1107 = [2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol1108 = [1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0] pubkeycol1109 = [2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol1110 = [1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1] pubkeycol1111 = [2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2] pubkeycol1112 = [2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0] pubkeycol1113 = [2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2] pubkeycol1114 = [1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0] pubkeycol1115 = [0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1] pubkeycol1116 = [0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2] pubkeycol1117 = [1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0] pubkeycol1118 = [2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1] pubkeycol1119 = [1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol1120 = [2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1] pubkeycol1121 = [2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2] pubkeycol1122 = [0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0] pubkeycol1123 = [0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0] pubkeycol1124 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1] pubkeycol1125 = [1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1] pubkeycol1126 = [2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0] pubkeycol1127 = [0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1] pubkeycol1128 = [0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2] pubkeycol1129 = [1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0] pubkeycol1130 = [1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1] pubkeycol1131 = [0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0] pubkeycol1132 = [0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0] pubkeycol1133 = [0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1] pubkeycol1134 = [1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0] pubkeycol1135 = [2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0] pubkeycol1136 = [2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0] pubkeycol1137 = [0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0] pubkeycol1138 = [1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0] pubkeycol1139 = [1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0] pubkeycol1140 = [0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0] pubkeycol1141 = [1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1] pubkeycol1142 = [2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1] pubkeycol1143 = [2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol1144 = [2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0] pubkeycol1145 = [0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol1146 = [1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0] pubkeycol1147 = [0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol1148 = [0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1] pubkeycol1149 = [1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2] pubkeycol1150 = [2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0] pubkeycol1151 = [2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol1152 = [0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2] pubkeycol1153 = [1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1] pubkeycol1154 = [0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1] pubkeycol1155 = [1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2] pubkeycol1156 = [2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2] pubkeycol1157 = [2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1] pubkeycol1158 = [1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1] pubkeycol1159 = [0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1] pubkeycol1160 = [2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1] pubkeycol1161 = [0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0] pubkeycol1162 = [1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1] pubkeycol1163 = [0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1] pubkeycol1164 = [1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1] pubkeycol1165 = [2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1] pubkeycol1166 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1] pubkeycol1167 = [0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2] pubkeycol1168 = [0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0] pubkeycol1169 = [0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol1170 = [0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2] pubkeycol1171 = [1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2] pubkeycol1172 = [1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol1173 = [2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1] pubkeycol1174 = [1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1] pubkeycol1175 = [1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2] pubkeycol1176 = [0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1] pubkeycol1177 = [1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0] pubkeycol1178 = [2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1] pubkeycol1179 = [0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2] pubkeycol1180 = [2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol1181 = [1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1] pubkeycol1182 = [2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1] pubkeycol1183 = [0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2] pubkeycol1184 = [0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1] pubkeycol1185 = [1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol1186 = [2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1] pubkeycol1187 = [2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2] pubkeycol1188 = [0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0] pubkeycol1189 = [2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol1190 = [0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0] pubkeycol1191 = [0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2] pubkeycol1192 = [0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0] pubkeycol1193 = [1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2] pubkeycol1194 = [1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2] pubkeycol1195 = [2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0] pubkeycol1196 = [2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol1197 = [2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 1] pubkeycol1198 = [2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1] pubkeycol1199 = [2, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0] pubkeycol1200 = [1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1] pubkeycol1201 = [0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1202 = [0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2] pubkeycol1203 = [2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0] pubkeycol1204 = [0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0] pubkeycol1205 = [2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0] pubkeycol1206 = [2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2] pubkeycol1207 = [1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0] pubkeycol1208 = [1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1] pubkeycol1209 = [1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 1] pubkeycol1210 = [1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1] pubkeycol1211 = [0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1] pubkeycol1212 = [2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol1213 = [2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0] pubkeycol1214 = [0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0] pubkeycol1215 = [1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0] pubkeycol1216 = [2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0] pubkeycol1217 = [1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0] pubkeycol1218 = [0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0] pubkeycol1219 = [0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0] pubkeycol1220 = [0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2] pubkeycol1221 = [1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1] pubkeycol1222 = [1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2] pubkeycol1223 = [1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0] pubkeycol1224 = [2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1] pubkeycol1225 = [1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2] pubkeycol1226 = [2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2] pubkeycol1227 = [2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1] pubkeycol1228 = [0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0] pubkeycol1229 = [2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0] pubkeycol1230 = [1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2] pubkeycol1231 = [0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1232 = [0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2] pubkeycol1233 = [2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2] pubkeycol1234 = [1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1] pubkeycol1235 = [2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0] pubkeycol1236 = [0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0] pubkeycol1237 = [0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0] pubkeycol1238 = [0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol1239 = [2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0] pubkeycol1240 = [2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0] pubkeycol1241 = [0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol1242 = [0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0] pubkeycol1243 = [1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2] pubkeycol1244 = [1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1] pubkeycol1245 = [0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0] pubkeycol1246 = [0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1] pubkeycol1247 = [1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1] pubkeycol1248 = [2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1] pubkeycol1249 = [2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0] pubkeycol1250 = [1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1] pubkeycol1251 = [2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1252 = [0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1] pubkeycol1253 = [2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol1254 = [1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2] pubkeycol1255 = [2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2] pubkeycol1256 = [2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2] pubkeycol1257 = [2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0] pubkeycol1258 = [1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2] pubkeycol1259 = [0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2] pubkeycol1260 = [0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0] pubkeycol1261 = [2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2] pubkeycol1262 = [1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2] pubkeycol1263 = [1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2] pubkeycol1264 = [1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2] pubkeycol1265 = [2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2] pubkeycol1266 = [2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0] pubkeycol1267 = [0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2] pubkeycol1268 = [1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2] pubkeycol1269 = [2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2] pubkeycol1270 = [2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2] pubkeycol1271 = [1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2] pubkeycol1272 = [0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2] pubkeycol1273 = [2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2] pubkeycol1274 = [0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol1275 = [0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol1276 = [2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1] pubkeycol1277 = [1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0] pubkeycol1278 = [2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol1279 = [2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 0] pubkeycol1280 = [0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol1281 = [2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2] pubkeycol1282 = [1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1] pubkeycol1283 = [2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol1284 = [0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0] pubkeycol1285 = [1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0] pubkeycol1286 = [1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2] pubkeycol1287 = [2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1] pubkeycol1288 = [0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0] pubkeycol1289 = [2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0] pubkeycol1290 = [1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1] pubkeycol1291 = [1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1] pubkeycol1292 = [0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0] pubkeycol1293 = [2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol1294 = [2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1] pubkeycol1295 = [0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol1296 = [1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0] pubkeycol1297 = [2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0] pubkeycol1298 = [1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0] pubkeycol1299 = [1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2] pubkeycol1300 = [0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1] pubkeycol1301 = [2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1] pubkeycol1302 = [2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1] pubkeycol1303 = [2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2] pubkeycol1304 = [0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1305 = [2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol1306 = [1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2] pubkeycol1307 = [0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1] pubkeycol1308 = [2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1309 = [2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1] pubkeycol1310 = [0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0] pubkeycol1311 = [0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0] pubkeycol1312 = [0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1] pubkeycol1313 = [1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0] pubkeycol1314 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2] pubkeycol1315 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2] pubkeycol1316 = [1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1] pubkeycol1317 = [2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol1318 = [0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1] pubkeycol1319 = [1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1] pubkeycol1320 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1] pubkeycol1321 = [2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2] pubkeycol1322 = [2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1] pubkeycol1323 = [2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0] pubkeycol1324 = [0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2] pubkeycol1325 = [2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1] pubkeycol1326 = [0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2] pubkeycol1327 = [0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0] pubkeycol1328 = [0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1] pubkeycol1329 = [2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0] pubkeycol1330 = [0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1] pubkeycol1331 = [0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1] pubkeycol1332 = [1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol1333 = [1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1] pubkeycol1334 = [0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1] pubkeycol1335 = [1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2] pubkeycol1336 = [2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1] pubkeycol1337 = [2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2] pubkeycol1338 = [1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0] pubkeycol1339 = [1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1] pubkeycol1340 = [1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2] pubkeycol1341 = [0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1] pubkeycol1342 = [1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0] pubkeycol1343 = [0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1] pubkeycol1344 = [1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2] pubkeycol1345 = [1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2] pubkeycol1346 = [0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2] pubkeycol1347 = [2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0] pubkeycol1348 = [0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2] pubkeycol1349 = [2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1] pubkeycol1350 = [2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2] pubkeycol1351 = [2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0] pubkeycol1352 = [1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0] pubkeycol1353 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2] pubkeycol1354 = [0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2] pubkeycol1355 = [2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0] pubkeycol1356 = [0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0] pubkeycol1357 = [0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0] pubkeycol1358 = [1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2,