kilobytes = 51.2264833240893 q = 3 m = 7 n = 1124 s = 0 t = 24 u = 48 k = 788 w = 36 ciphertext = [0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2] recovered_plaintext_using_secret_key = True pubkeycol336 = [2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol337 = [1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1] pubkeycol338 = [2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol339 = [0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol340 = [2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1] pubkeycol341 = [2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1] pubkeycol342 = [2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0] pubkeycol343 = [0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1] pubkeycol344 = [0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1] pubkeycol345 = [0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2] pubkeycol346 = [1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1] pubkeycol347 = [2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2] pubkeycol348 = [1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1] pubkeycol349 = [2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2] pubkeycol350 = [1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1] pubkeycol351 = [2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2] pubkeycol352 = [1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2] pubkeycol353 = [1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol354 = [0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2] pubkeycol355 = [1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1] pubkeycol356 = [1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 2] pubkeycol357 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0] pubkeycol358 = [2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1] pubkeycol359 = [0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0] pubkeycol360 = [0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1] pubkeycol361 = [2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0] pubkeycol362 = [2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1] pubkeycol363 = [1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol364 = [0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2] pubkeycol365 = [0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1] pubkeycol366 = [1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1] pubkeycol367 = [0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1] pubkeycol368 = [2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2] pubkeycol369 = [1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1] pubkeycol370 = [1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1] pubkeycol371 = [2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1] pubkeycol372 = [2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol373 = [2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0] pubkeycol374 = [0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0] pubkeycol375 = [2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0] pubkeycol376 = [0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1] pubkeycol377 = [0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2] pubkeycol378 = [0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2] pubkeycol379 = [1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1] pubkeycol380 = [1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0] pubkeycol381 = [0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol382 = [1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1] pubkeycol383 = [2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0] pubkeycol384 = [1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2] pubkeycol385 = [0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2] pubkeycol386 = [2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0] pubkeycol387 = [1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 1] pubkeycol388 = [0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0] pubkeycol389 = [1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0] pubkeycol390 = [2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0] pubkeycol391 = [2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0] pubkeycol392 = [0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0] pubkeycol393 = [1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2] pubkeycol394 = [2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1] pubkeycol395 = [1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2] pubkeycol396 = [2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol397 = [1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0] pubkeycol398 = [0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0] pubkeycol399 = [2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1] pubkeycol400 = [2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1] pubkeycol401 = [0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1] pubkeycol402 = [0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0] pubkeycol403 = [2, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol404 = [2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1] pubkeycol405 = [0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2] pubkeycol406 = [2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0] pubkeycol407 = [1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0] pubkeycol408 = [1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1] pubkeycol409 = [1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol410 = [2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0] pubkeycol411 = [1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0] pubkeycol412 = [0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1] pubkeycol413 = [2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0] pubkeycol414 = [2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2] pubkeycol415 = [2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2] pubkeycol416 = [2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1] pubkeycol417 = [1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0] pubkeycol418 = [2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2] pubkeycol419 = [2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0] pubkeycol420 = [2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2] pubkeycol421 = [1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1] pubkeycol422 = [1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol423 = [2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0] pubkeycol424 = [1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2] pubkeycol425 = [1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2] pubkeycol426 = [0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1] pubkeycol427 = [1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol428 = [0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1] pubkeycol429 = [0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2] pubkeycol430 = [1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0] pubkeycol431 = [2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2] pubkeycol432 = [0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0] pubkeycol433 = [0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0] pubkeycol434 = [1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0] pubkeycol435 = [0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0] pubkeycol436 = [0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2] pubkeycol437 = [1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2] pubkeycol438 = [1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2] pubkeycol439 = [1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1] pubkeycol440 = [0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0] pubkeycol441 = [0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2] pubkeycol442 = [2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1] pubkeycol443 = [1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1] pubkeycol444 = [1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1] pubkeycol445 = [2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1] pubkeycol446 = [2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1] pubkeycol447 = [1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0] pubkeycol448 = [1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0] pubkeycol449 = [2, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0] pubkeycol450 = [1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1] pubkeycol451 = [2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0] pubkeycol452 = [1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0] pubkeycol453 = [1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1] pubkeycol454 = [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1] pubkeycol455 = [0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol456 = [0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1] pubkeycol457 = [1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2] pubkeycol458 = [1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1] pubkeycol459 = [1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0] pubkeycol460 = [2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0] pubkeycol461 = [0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2] pubkeycol462 = [0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2] pubkeycol463 = [1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1] pubkeycol464 = [0, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0] pubkeycol465 = [0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2] pubkeycol466 = [1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1] pubkeycol467 = [2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0] pubkeycol468 = [1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0] pubkeycol469 = [0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0] pubkeycol470 = [1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0] pubkeycol471 = [1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2] pubkeycol472 = [2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0] pubkeycol473 = [0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2] pubkeycol474 = [1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1] pubkeycol475 = [0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0] pubkeycol476 = [0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol477 = [0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0] pubkeycol478 = [2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1] pubkeycol479 = [1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2] pubkeycol480 = [2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0] pubkeycol481 = [0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1] pubkeycol482 = [0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1] pubkeycol483 = [1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1] pubkeycol484 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0] pubkeycol485 = [0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1] pubkeycol486 = [2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1] pubkeycol487 = [0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1] pubkeycol488 = [2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2] pubkeycol489 = [0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol490 = [0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2] pubkeycol491 = [0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1] pubkeycol492 = [2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2] pubkeycol493 = [0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0] pubkeycol494 = [1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0] pubkeycol495 = [2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2] pubkeycol496 = [2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1] pubkeycol497 = [1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1] pubkeycol498 = [0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2] pubkeycol499 = [1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0] pubkeycol500 = [0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 0] pubkeycol501 = [1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0] pubkeycol502 = [0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1] pubkeycol503 = [0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2] pubkeycol504 = [2, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0] pubkeycol505 = [2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2] pubkeycol506 = [0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0] pubkeycol507 = [2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0] pubkeycol508 = [2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0] pubkeycol509 = [0, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1] pubkeycol510 = [0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2] pubkeycol511 = [1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2] pubkeycol512 = [1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1] pubkeycol513 = [2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2] pubkeycol514 = [1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2] pubkeycol515 = [1, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol516 = [2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0] pubkeycol517 = [2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol518 = [1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1] pubkeycol519 = [0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1] pubkeycol520 = [1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0] pubkeycol521 = [0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1] pubkeycol522 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0] pubkeycol523 = [0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol524 = [1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol525 = [1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2] pubkeycol526 = [1, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2] pubkeycol527 = [1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2] pubkeycol528 = [2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0] pubkeycol529 = [1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1] pubkeycol530 = [2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0] pubkeycol531 = [1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2] pubkeycol532 = [1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2] pubkeycol533 = [1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2] pubkeycol534 = [0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol535 = [0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol536 = [0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0] pubkeycol537 = [2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0] pubkeycol538 = [2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0] pubkeycol539 = [0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2] pubkeycol540 = [2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 0, 0] pubkeycol541 = [0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0] pubkeycol542 = [1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1] pubkeycol543 = [1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0] pubkeycol544 = [0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1] pubkeycol545 = [0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1] pubkeycol546 = [1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2] pubkeycol547 = [1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1] pubkeycol548 = [0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0] pubkeycol549 = [2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0] pubkeycol550 = [1, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol551 = [2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2] pubkeycol552 = [1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1] pubkeycol553 = [2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1] pubkeycol554 = [0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2] pubkeycol555 = [1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1] pubkeycol556 = [2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0] pubkeycol557 = [1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2] pubkeycol558 = [0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1] pubkeycol559 = [0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2] pubkeycol560 = [2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2] pubkeycol561 = [1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2] pubkeycol562 = [1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2] pubkeycol563 = [2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0] pubkeycol564 = [0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2] pubkeycol565 = [1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 2] pubkeycol566 = [2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2] pubkeycol567 = [1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1] pubkeycol568 = [1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1] pubkeycol569 = [1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2] pubkeycol570 = [2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol571 = [2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1] pubkeycol572 = [1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1] pubkeycol573 = [0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0] pubkeycol574 = [0, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol575 = [1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0] pubkeycol576 = [2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2] pubkeycol577 = [1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2] pubkeycol578 = [1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0] pubkeycol579 = [0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1] pubkeycol580 = [0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0] pubkeycol581 = [1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1] pubkeycol582 = [2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0] pubkeycol583 = [1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0] pubkeycol584 = [1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1] pubkeycol585 = [2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0] pubkeycol586 = [0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0] pubkeycol587 = [1, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2] pubkeycol588 = [2, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 0] pubkeycol589 = [0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0] pubkeycol590 = [1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1] pubkeycol591 = [1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1] pubkeycol592 = [1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 2] pubkeycol593 = [1, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1] pubkeycol594 = [1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2] pubkeycol595 = [0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1] pubkeycol596 = [1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0] pubkeycol597 = [1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0] pubkeycol598 = [2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2] pubkeycol599 = [1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1] pubkeycol600 = [2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] pubkeycol601 = [1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1] pubkeycol602 = [2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2] pubkeycol603 = [1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2] pubkeycol604 = [1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2] pubkeycol605 = [0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1] pubkeycol606 = [0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2] pubkeycol607 = [2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1] pubkeycol608 = [2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2] pubkeycol609 = [2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1] pubkeycol610 = [0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1] pubkeycol611 = [1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2] pubkeycol612 = [1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 1] pubkeycol613 = [2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2] pubkeycol614 = [2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0] pubkeycol615 = [0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2] pubkeycol616 = [0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0] pubkeycol617 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1] pubkeycol618 = [1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0] pubkeycol619 = [2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2] pubkeycol620 = [0, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1] pubkeycol621 = [2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1] pubkeycol622 = [0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2] pubkeycol623 = [2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2] pubkeycol624 = [1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1] pubkeycol625 = [0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0] pubkeycol626 = [0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1] pubkeycol627 = [0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1] pubkeycol628 = [1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2] pubkeycol629 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2] pubkeycol630 = [1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2] pubkeycol631 = [0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1] pubkeycol632 = [1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1] pubkeycol633 = [1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2] pubkeycol634 = [1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0] pubkeycol635 = [0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1] pubkeycol636 = [2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2] pubkeycol637 = [1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0] pubkeycol638 = [1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0] pubkeycol639 = [0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2] pubkeycol640 = [1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0] pubkeycol641 = [1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1] pubkeycol642 = [0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2] pubkeycol643 = [0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1] pubkeycol644 = [0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0] pubkeycol645 = [2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1] pubkeycol646 = [2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0] pubkeycol647 = [2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol648 = [1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1] pubkeycol649 = [2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2] pubkeycol650 = [1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2] pubkeycol651 = [2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 1] pubkeycol652 = [0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1] pubkeycol653 = [1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1] pubkeycol654 = [0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 1] pubkeycol655 = [0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2] pubkeycol656 = [2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0] pubkeycol657 = [0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1] pubkeycol658 = [0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 2] pubkeycol659 = [2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 1] pubkeycol660 = [1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1] pubkeycol661 = [1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol662 = [0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1] pubkeycol663 = [0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2] pubkeycol664 = [1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 0] pubkeycol665 = [0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1] pubkeycol666 = [1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1] pubkeycol667 = [2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1] pubkeycol668 = [2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0] pubkeycol669 = [2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0] pubkeycol670 = [0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0] pubkeycol671 = [1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol672 = [0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2] pubkeycol673 = [1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0] pubkeycol674 = [2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1] pubkeycol675 = [1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2] pubkeycol676 = [1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0] pubkeycol677 = [2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2] pubkeycol678 = [0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2] pubkeycol679 = [0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1] pubkeycol680 = [1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0] pubkeycol681 = [0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0] pubkeycol682 = [0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol683 = [0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1] pubkeycol684 = [1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2] pubkeycol685 = [0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 2] pubkeycol686 = [2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0] pubkeycol687 = [0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2] pubkeycol688 = [0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2] pubkeycol689 = [2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol690 = [2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2] pubkeycol691 = [1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0] pubkeycol692 = [2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1] pubkeycol693 = [0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2] pubkeycol694 = [1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1] pubkeycol695 = [1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0] pubkeycol696 = [2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2] pubkeycol697 = [0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1] pubkeycol698 = [2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2] pubkeycol699 = [0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 1, 0] pubkeycol700 = [0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1] pubkeycol701 = [0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0] pubkeycol702 = [1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0] pubkeycol703 = [0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2] pubkeycol704 = [1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1] pubkeycol705 = [2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2] pubkeycol706 = [0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0] pubkeycol707 = [0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2] pubkeycol708 = [2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0] pubkeycol709 = [1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1] pubkeycol710 = [2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2] pubkeycol711 = [2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0] pubkeycol712 = [1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2] pubkeycol713 = [0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0] pubkeycol714 = [2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2] pubkeycol715 = [0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 1] pubkeycol716 = [2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1] pubkeycol717 = [0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1] pubkeycol718 = [1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 1] pubkeycol719 = [1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2] pubkeycol720 = [0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2] pubkeycol721 = [2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2] pubkeycol722 = [0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol723 = [0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1] pubkeycol724 = [2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2] pubkeycol725 = [2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1] pubkeycol726 = [2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0] pubkeycol727 = [2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2] pubkeycol728 = [1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0] pubkeycol729 = [2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1] pubkeycol730 = [1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0] pubkeycol731 = [1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2] pubkeycol732 = [0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2] pubkeycol733 = [0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1] pubkeycol734 = [0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0] pubkeycol735 = [1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2] pubkeycol736 = [1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2] pubkeycol737 = [2, 1, 0, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1] pubkeycol738 = [1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1] pubkeycol739 = [0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1] pubkeycol740 = [1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2] pubkeycol741 = [1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2] pubkeycol742 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2] pubkeycol743 = [1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2] pubkeycol744 = [1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0] pubkeycol745 = [2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0] pubkeycol746 = [2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2] pubkeycol747 = [2, 0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0] pubkeycol748 = [1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1] pubkeycol749 = [0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2] pubkeycol750 = [0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1] pubkeycol751 = [2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0] pubkeycol752 = [2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1] pubkeycol753 = [0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1] pubkeycol754 = [0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1] pubkeycol755 = [0, 1, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 1, 1] pubkeycol756 = [1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol757 = [0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1] pubkeycol758 = [2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1] pubkeycol759 = [1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2] pubkeycol760 = [0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol761 = [0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0] pubkeycol762 = [2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 1, 1] pubkeycol763 = [0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1] pubkeycol764 = [2, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0] pubkeycol765 = [2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0] pubkeycol766 = [0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1] pubkeycol767 = [2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0] pubkeycol768 = [1, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2] pubkeycol769 = [2, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol770 = [2, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2] pubkeycol771 = [0, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2] pubkeycol772 = [0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1] pubkeycol773 = [2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0] pubkeycol774 = [2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2] pubkeycol775 = [1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1] pubkeycol776 = [0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1] pubkeycol777 = [2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 1] pubkeycol778 = [0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2] pubkeycol779 = [1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2] pubkeycol780 = [0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0] pubkeycol781 = [1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0] pubkeycol782 = [1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1] pubkeycol783 = [2, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2] pubkeycol784 = [2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol785 = [1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1] pubkeycol786 = [1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1] pubkeycol787 = [0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2] pubkeycol788 = [1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2] pubkeycol789 = [1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0] pubkeycol790 = [0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0] pubkeycol791 = [1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1] pubkeycol792 = [2, 2, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0] pubkeycol793 = [1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0] pubkeycol794 = [2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol795 = [1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1] pubkeycol796 = [1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 2, 0] pubkeycol797 = [0, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1] pubkeycol798 = [0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2] pubkeycol799 = [0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1] pubkeycol800 = [1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2] pubkeycol801 = [0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0] pubkeycol802 = [1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 1] pubkeycol803 = [1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1] pubkeycol804 = [1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1] pubkeycol805 = [1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1] pubkeycol806 = [0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2] pubkeycol807 = [2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1] pubkeycol808 = [0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2] pubkeycol809 = [1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1] pubkeycol810 = [0, 2, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0] pubkeycol811 = [0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0] pubkeycol812 = [0, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2] pubkeycol813 = [1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2] pubkeycol814 = [0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol815 = [2, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol816 = [1, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0] pubkeycol817 = [2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2] pubkeycol818 = [1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1] pubkeycol819 = [0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2] pubkeycol820 = [0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol821 = [2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 1, 1] pubkeycol822 = [1, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2] pubkeycol823 = [2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1] pubkeycol824 = [0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1] pubkeycol825 = [2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1] pubkeycol826 = [0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2] pubkeycol827 = [2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2] pubkeycol828 = [1, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 1, 0] pubkeycol829 = [1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0] pubkeycol830 = [2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0] pubkeycol831 = [0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0] pubkeycol832 = [2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2] pubkeycol833 = [0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1] pubkeycol834 = [1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0] pubkeycol835 = [0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2] pubkeycol836 = [2, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 1, 0, 2] pubkeycol837 = [0, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0] pubkeycol838 = [0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2] pubkeycol839 = [2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2] pubkeycol840 = [1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2] pubkeycol841 = [2, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0] pubkeycol842 = [1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1] pubkeycol843 = [0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2] pubkeycol844 = [2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0] pubkeycol845 = [1, 2, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2] pubkeycol846 = [0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2] pubkeycol847 = [2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0] pubkeycol848 = [1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 2] pubkeycol849 = [0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 0] pubkeycol850 = [1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2] pubkeycol851 = [0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2] pubkeycol852 = [2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1] pubkeycol853 = [1, 0, 2, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0] pubkeycol854 = [2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2] pubkeycol855 = [1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1] pubkeycol856 = [0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1] pubkeycol857 = [2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1] pubkeycol858 = [0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2] pubkeycol859 = [2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 0] pubkeycol860 = [0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 2] pubkeycol861 = [0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 0, 2] pubkeycol862 = [0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1] pubkeycol863 = [1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0] pubkeycol864 = [1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0] pubkeycol865 = [0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2] pubkeycol866 = [0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0] pubkeycol867 = [0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0] pubkeycol868 = [2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0] pubkeycol869 = [1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1] pubkeycol870 = [0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2] pubkeycol871 = [2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2] pubkeycol872 = [1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0] pubkeycol873 = [0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0] pubkeycol874 = [1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol875 = [1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol876 = [2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2] pubkeycol877 = [1, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 0] pubkeycol878 = [0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol879 = [0, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2] pubkeycol880 = [0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1] pubkeycol881 = [0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0] pubkeycol882 = [0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0] pubkeycol883 = [1, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 2] pubkeycol884 = [2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0] pubkeycol885 = [2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0] pubkeycol886 = [0, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0] pubkeycol887 = [1, 0, 1, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 0, 2, 2, 1, 0, 0] pubkeycol888 = [2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1] pubkeycol889 = [2, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 1, 2, 1] pubkeycol890 = [0, 2, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0] pubkeycol891 = [2, 2, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2] pubkeycol892 = [2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 0, 0] pubkeycol893 = [1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2] pubkeycol894 = [0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0] pubkeycol895 = [2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 0, 0, 0, 1] pubkeycol896 = [2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1] pubkeycol897 = [2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 1] pubkeycol898 = [1, 1, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1] pubkeycol899 = [0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2] pubkeycol900 = [2, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1] pubkeycol901 = [1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0] pubkeycol902 = [1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 0] pubkeycol903 = [2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0] pubkeycol904 = [2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2] pubkeycol905 = [1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0] pubkeycol906 = [1, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 2] pubkeycol907 = [2, 2, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 1] pubkeycol908 = [1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1] pubkeycol909 = [1, 2, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1] pubkeycol910 = [1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0] pubkeycol911 = [0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol912 = [1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2] pubkeycol913 = [1, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 2, 0] pubkeycol914 = [0, 0, 0, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2] pubkeycol915 = [0, 2, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1] pubkeycol916 = [0, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1] pubkeycol917 = [0, 2, 2, 1, 2, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2] pubkeycol918 = [0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 0, 2] pubkeycol919 = [1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2] pubkeycol920 = [2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1] pubkeycol921 = [2, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 2, 0] pubkeycol922 = [1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0] pubkeycol923 = [0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2] pubkeycol924 = [0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1] pubkeycol925 = [2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0] pubkeycol926 = [2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 0, 2] pubkeycol927 = [1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 2, 0, 0] pubkeycol928 = [0, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0] pubkeycol929 = [0, 2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol930 = [0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2] pubkeycol931 = [2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2] pubkeycol932 = [2, 2, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 1, 2, 0, 1, 2] pubkeycol933 = [2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0] pubkeycol934 = [1, 2, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0] pubkeycol935 = [0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0] pubkeycol936 = [0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1] pubkeycol937 = [1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2] pubkeycol938 = [2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 2] pubkeycol939 = [2, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2] pubkeycol940 = [1, 2, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0] pubkeycol941 = [2, 2, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 1, 1] pubkeycol942 = [2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0] pubkeycol943 = [2, 2, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1] pubkeycol944 = [0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 2] pubkeycol945 = [1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2] pubkeycol946 = [2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0] pubkeycol947 = [1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0] pubkeycol948 = [2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 0] pubkeycol949 = [2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 0] pubkeycol950 = [1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 1, 0, 0] pubkeycol951 = [0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2] pubkeycol952 = [0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 1, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2] pubkeycol953 = [1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 0, 1, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 1, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 2] pubkeycol954 = [0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0] pubkeycol955 = [1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 0, 0, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0] pubkeycol956 = [1, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 2, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 2, 0] pubkeycol957 = [0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2] pubkeycol958 = [0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 2, 1, 0, 1, 1] pubkeycol959 = [2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 0] pubkeycol960 = [1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2] pubkeycol961 = [0, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 2] pubkeycol962 = [0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0] pubkeycol963 = [1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 2] pubkeycol964 = [1, 2, 2, 1, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 2, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1] pubkeycol965 = [1, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1] pubkeycol966 = [0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 0, 1, 2, 0] pubkeycol967 = [1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2] pubkeycol968 = [1, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 2, 2, 0, 0, 2, 0] pubkeycol969 = [0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1] pubkeycol970 = [0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 0, 1, 2, 0, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0] pubkeycol971 = [2, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0] pubkeycol972 = [0, 0, 2, 1, 1, 2, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 2, 2] pubkeycol973 = [1, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1] pubkeycol974 = [0, 1, 0, 0, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2] pubkeycol975 = [0, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0] pubkeycol976 = [1, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 0, 2, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol977 = [1, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2] pubkeycol978 = [0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 2, 1, 1, 2, 2] pubkeycol979 = [0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 2] pubkeycol980 = [2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 1, 0, 1] pubkeycol981 = [2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 0] pubkeycol982 = [0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2] pubkeycol983 = [0, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 0] pubkeycol984 = [0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2] pubkeycol985 = [2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 0] pubkeycol986 = [1, 0, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 1, 1, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2] pubkeycol987 = [1, 1, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 1, 2, 2, 2, 0, 1, 2, 2] pubkeycol988 = [0, 1, 2, 0, 0, 0, 1, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 2, 1, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 2, 0, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0] pubkeycol989 = [1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0] pubkeycol990 = [2, 2, 2, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 2, 2, 2, 1, 0, 2, 1] pubkeycol991 = [2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1] pubkeycol992 = [0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 1, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 1, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2, 0, 1, 2, 0, 2, 1, 2] pubkeycol993 = [2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 0, 2, 0, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0] pubkeycol994 = [0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 2] pubkeycol995 = [0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 0, 1] pubkeycol996 = [2, 0, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 1, 1, 1, 0, 0, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 2, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2] pubkeycol997 = [0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 1, 0, 1, 0, 0, 2, 0] pubkeycol998 = [2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 0, 2] pubkeycol999 = [2, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 0, 1, 2, 0, 1] pubkeycol1000 = [0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1] pubkeycol1001 = [0, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 2, 0, 1, 0, 1, 1, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 2] pubkeycol1002 = [0, 1, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 2, 0, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 1, 2] pubkeycol1003 = [0, 2, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 1, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0] pubkeycol1004 = [1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 2, 1, 1, 1] pubkeycol1005 = [0, 2, 0, 0, 0, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 2, 1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 1, 2] pubkeycol1006 = [0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 2, 1, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 2, 1, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1] pubkeycol1007 = [0, 2, 1, 1, 0, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 0, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1] pubkeycol1008 = [1, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0] pubkeycol1009 = [0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 1, 2, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 1, 2, 0, 1] pubkeycol1010 = [1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 0, 0] pubkeycol1011 = [1, 1, 2, 2, 1, 2, 2, 2, 2, 1, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 2, 1, 1, 1, 0, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 0, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 0, 2] pubkeycol1012 = [1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 2, 0, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1] pubkeycol1013 = [2, 0, 0, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 0] pubkeycol1014 = [2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 2, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0] pubkeycol1015 = [2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 2, 1, 2, 2, 2, 2, 1, 0, 2, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 2, 2, 0, 1] pubkeycol1016 = [2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 0] pubkeycol1017 = [2, 1, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 1, 2, 2, 1, 2, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 2, 1, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2] pubkeycol1018 = [0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 1] pubkeycol1019 = [0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 2, 2, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 0, 2, 2, 1, 0, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2] pubkeycol1020 = [1, 0, 2, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 2, 2, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 2, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2] pubkeycol1021 = [1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 2, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 1, 1, 1] pubkeycol1022 = [0, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 2, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 2, 2, 0] pubkeycol1023 = [2, 0, 0, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1] pubkeycol1024 = [2, 2, 0, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 2, 2, 2, 1, 0, 1, 2, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 1] pubkeycol1025 = [1, 1, 1, 1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 0, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 0, 1, 1, 0, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0] pubkeycol1026 = [1, 0, 2, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 1, 2, 2, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 1, 2, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 2, 0, 1, 2] pubkeycol1027 = [0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 0, 1, 2, 2, 1, 1, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 1, 0, 0, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1] pubkeycol1028 = [1, 2, 1, 0, 0, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 1, 2, 0, 0, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0] pubkeycol1029 = [2, 2, 2, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 2, 2, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 1] pubkeycol1030 = [2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 2, 2, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 2] pubkeycol1031 = [0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2] pubkeycol1032 = [1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 2, 2, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 0, 1] pubkeycol1033 = [2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2] pubkeycol1034 = [1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 2] pubkeycol1035 = [2, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 0, 2, 2, 1, 2, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 1, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 2, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 2, 0, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1] pubkeycol1036 = [0, 1, 2, 2, 1, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 1, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 0, 2, 1, 2, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1] pubkeycol1037 = [1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 1, 1, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 2, 1, 1, 2, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 2, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 1, 0, 1, 2, 2, 1, 2] pubkeycol1038 = [0, 2, 1, 1, 1, 0, 1, 2, 2, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 1, 2, 2, 2, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 1, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 2, 0, 2, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 1, 2, 1, 0, 2, 0, 0, 0, 1, 1, 2, 2, 0, 2, 1, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 0, 1, 0, 0, 1, 2, 2, 2, 1, 2, 2, 2, 0, 2, 0, 1, 1, 0, 0, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 1, 0, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2] pubkeycol1039 = [2, 1, 2, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 1, 2, 1, 1, 1, 1, 0, 2, 0, 0, 2, 1, 0, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 1, 0, 1, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 2, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 2, 0, 0, 2, 1] pubkeycol1040 = [1, 1, 2, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 0, 1, 1, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 2, 2, 0] pubkeycol1041 = [2, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 1, 1, 2, 2, 2, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 2, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0] pubkeycol1042 = [0, 2, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 1, 0, 2, 0, 2, 0, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 1, 1, 0, 2, 2, 0, 1] pubkeycol1043 = [0, 1, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 1, 1, 2, 1, 0, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0, 1, 2, 2, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 1, 2, 1, 2, 2, 0, 2, 1, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 1, 2, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2] pubkeycol1044 = [2, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 0, 1, 0, 2, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 1, 1] pubkeycol1045 = [2, 2, 0, 2, 0, 2, 0, 2, 1, 1, 2, 2, 1, 2, 0, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 0, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 2, 0, 1, 0, 2, 1, 2, 2, 0, 2, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 1, 1, 0, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2] pubkeycol1046 = [0, 0, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 1, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 1, 2, 0, 0, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 1, 2, 2, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 1, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2] pubkeycol1047 = [2, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 0, 1, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 1, 2, 1, 1, 1, 0, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 0, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 0, 2] pubkeycol1048 = [1, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 1, 0, 1, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 2, 1, 2, 2, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 0, 2, 0, 1, 2, 0, 1, 2, 2, 1, 1] pubkeycol1049 = [1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 0, 2, 1, 0, 1, 0, 2, 1, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 1, 2, 1, 2, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 1, 2, 2, 1, 0, 0, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 2, 1, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 2, 2, 0, 0, 0, 1, 2, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 0, 1, 0] pubkeycol1050 = [1, 1, 2, 1, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 2, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1] pubkeycol1051 = [1, 2, 1, 0, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 0, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 1, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 2, 2, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 0, 0, 1, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 0, 1, 0, 0, 1] pubkeycol1052 = [0, 0, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 0, 0, 1, 2, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 0, 1, 0, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 2, 2, 0, 2, 0, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 0, 0, 2, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 2, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 0, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1] pubkeycol1053 = [2, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 2, 0, 2, 2, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 1, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 2, 0, 1, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 0, 0, 1, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 1, 2, 2] pubkeycol1054 = [1, 0, 2, 1, 1, 0, 2, 0, 0, 0, 0, 2, 1, 0, 2, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 1, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 2, 2, 2, 0, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 2, 2, 0, 1, 0, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 2, 0, 2, 2, 0, 0, 0, 0, 0, 2, 2] pubkeycol1055 = [1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 2, 1, 0, 0, 1, 0, 0, 0, 2, 2, 1, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 1, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 0, 1, 2, 2, 1, 0, 1, 0, 1, 2, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 1, 1, 0, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 0, 2, 0, 1] pubkeycol1056 = [1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 2, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 2, 1, 2, 1, 0, 1, 2, 2, 2, 1, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 2, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1] pubkeycol1057 = [0, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 2, 1, 0, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 2, 2, 2, 2, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 1, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 1, 1, 1, 2, 0, 1, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 2, 1, 0, 2] pubkeycol1058 = [1, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 2, 0, 0, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 1, 1, 1, 1, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 0, 2, 1, 2] pubkeycol1059 = [1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 2, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 0, 1, 0, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 0, 0, 2, 0, 1, 1, 2, 2, 0, 1, 2, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 0, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 0, 1, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 0, 1] pubkeycol1060 = [1, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 2, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2, 2, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 2, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 2, 1, 2, 2, 1, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 0, 1, 1] pubkeycol1061 = [1, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 2, 2, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 0, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 2, 1, 2, 1, 2, 0, 1, 2, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 0, 0, 0, 1, 0, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 0, 2, 2, 2, 0, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 1, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1] pubkeycol1062 = [2, 2, 0, 2, 2, 0, 1, 0, 1, 1, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 2, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 1, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 2] pubkeycol1063 = [2, 1, 2, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 0, 1, 0, 1, 2, 1, 0, 0, 0, 2, 2, 0, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 2, 0, 1, 2, 2, 2, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 0, 0, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 2, 2, 1, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 2, 0, 1, 0, 1, 1, 1, 0, 2, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 1, 2, 2, 1, 2, 1, 2] pubkeycol1064 = [1, 2, 2, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 2, 1, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 2, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 0, 0, 0, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 2, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2] pubkeycol1065 = [0, 2, 0, 2, 2, 2, 0, 1, 2, 1, 0, 0, 1, 2, 2, 1, 1, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 2, 0, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 2, 2, 2, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 0, 2, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1] pubkeycol1066 = [2, 0, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 2, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 1, 1, 1, 2, 2, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 1, 0, 1, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 2, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 1, 1, 2, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 1, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1] pubkeycol1067 = [1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 1, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 1, 0, 2, 1, 1, 2, 2, 2, 2, 1, 1, 0, 2, 2, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 2, 2, 0, 2, 2, 0, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 0] pubkeycol1068 = [0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 2, 1, 1, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 2, 0, 0, 2, 1, 1, 1, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 1, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 1, 2, 1, 2, 1, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 2, 0, 1, 1, 2, 0, 1, 2, 1, 2, 2, 1, 1, 1, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 2, 2, 2, 0, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 0, 1, 2, 1, 2, 2, 2, 0, 0, 1, 2, 0, 2, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 0] pubkeycol1069 = [0, 2, 2, 2, 1, 1, 0, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 1, 0, 1, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 2, 0, 0, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 2, 0, 0, 0, 1, 2, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 0, 2, 1, 2, 2, 0, 2, 2, 2, 0, 0, 0, 0, 1, 1, 1, 2] pubkeycol1070 = [2, 0, 1, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 2, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 0, 2, 1, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 0, 1, 0, 0, 2, 2, 2, 1, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 0, 2, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 1, 1, 2, 1, 2, 0, 0, 0, 1, 2, 2, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 1, 1, 1, 1, 2, 2, 1, 2, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 0] pubkeycol1071 = [0, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 0, 2, 2, 0, 1, 1, 1, 2, 0, 2, 2, 1, 2, 2, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 1, 0, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 1, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 0, 0, 0, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 0, 2, 0, 1, 1, 2, 2, 0, 0, 0, 0, 1, 2, 2, 1, 1, 1, 1, 1, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 1, 1, 1, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2] pubkeycol1072 = [0, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 1, 1, 2, 2, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 0, 1, 1, 1, 0, 0, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 0, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 1, 2] pubkeycol1073 = [0, 1, 2, 0, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 0, 2, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 2, 2, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 1, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 1, 0, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 1, 0, 2, 1, 1, 2, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 1, 1, 1, 1, 1, 2, 0, 1, 2, 0, 1, 2, 2, 1, 2, 2, 2, 2, 0, 2, 0, 1, 1, 0, 1, 2, 1, 2, 1, 2, 2, 0, 1, 1, 1] pubkeycol1074 = [0, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 1, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 1, 0, 1, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 0, 0, 0, 2, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 2, 0, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 1, 2, 2, 1, 1, 2, 2, 2, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 2, 2, 1, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 0, 2, 0, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1, 2, 1, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1] pubkeycol1075 = [1, 1, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 1, 0, 0, 0, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 2, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 0, 2, 2, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 1, 1, 0, 0, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 1, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 1, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 2, 2] pubkeycol1076 = [1, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 0, 2, 2, 1, 2, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 1, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 2, 0, 2, 0, 1, 2, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 2, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 0, 2, 2, 0, 2, 1, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 0, 0, 1, 1, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol1077 = [1, 0, 1, 2, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 2, 1, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 0, 0, 0, 1, 1, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 2, 2, 0, 0, 1, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 1, 2, 1, 2, 0, 0, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 0, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 0, 1, 0, 1, 2] pubkeycol1078 = [1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 2, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 0, 0, 2, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 1, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 1, 2, 1, 2, 2, 2, 0, 2, 0, 1, 2, 2, 0, 0, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 2, 2, 2, 0, 0, 2, 1, 2, 2, 2, 0, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 0, 2, 0, 0, 2, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 0, 2] pubkeycol1079 = [2, 2, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 2, 2, 2, 2, 2, 0, 2, 2, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 0, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 2, 1, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0, 1, 1, 0, 1, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 1, 0, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 0, 1, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 1, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 2, 0, 2, 1, 1, 1, 1, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2] pubkeycol1080 = [2, 2, 2, 0, 0, 1, 2, 2, 0, 1, 2, 0, 2, 2, 1, 1, 2, 2, 1, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 1, 0, 1, 2, 0, 2, 0, 2, 2, 0, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 1, 0, 0, 1, 2, 2, 2, 0, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 0, 2, 1, 0, 0, 2, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 1, 1, 2, 1, 0, 2, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 0, 2, 1, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 1, 0, 2] pubkeycol1081 = [2, 2, 1, 2, 0, 1, 1, 2, 1, 1, 0, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 0, 1, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 0, 0, 2, 2, 0, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 0, 1, 1, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 2, 1, 2, 2, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 0, 0, 2, 2, 1, 2, 0, 1, 0, 2, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 0, 1, 1, 1, 2, 2, 1, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 2, 1, 1, 0, 2, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 1, 2, 2, 0, 2, 0, 2, 0, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 2, 1, 1, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 1, 2, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 1, 1, 0, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1] pubkeycol1082 = [2, 2, 0, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 1, 1, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 1, 0, 0, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 0, 0, 2, 2, 2, 0, 1, 0, 2, 2, 0, 2, 1, 1, 0, 1, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 0, 2, 2, 1, 0, 1, 2, 1, 0, 2, 0, 2, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 1, 0, 1, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 0, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 2, 2, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 2, 2, 2, 0, 2, 2, 2, 2, 2, 0, 1, 0] pubkeycol1083 = [1, 2, 0, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 1, 0, 1, 0, 2, 2, 0, 0, 2, 1, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 2, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 1, 2, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 1, 2, 0, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 1, 1, 2, 0] pubkeycol1084 = [2, 2, 2, 0, 2, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2, 1, 2, 0, 1, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 2, 2, 2, 2, 2, 1, 2, 2, 0, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 0, 2, 0, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 2, 1, 0, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0] pubkeycol1085 = [2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 1, 1, 1, 0, 0, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 0, 0, 2, 0, 1, 2, 1, 2, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 1, 1, 2, 1, 2, 1, 0, 0, 2, 0, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 1, 2, 2, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 2, 2, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 2, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 2, 0, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 2, 1, 0, 1, 1, 1, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 1, 1, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 0, 1, 0, 1, 1, 2, 2, 2, 0, 1, 1, 2, 1, 2, 2, 1, 0, 0, 0, 1, 2, 2] pubkeycol1086 = [1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 1, 2, 2, 0, 0, 2, 0, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 2, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 2, 1, 0, 1, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 0, 1, 1, 0, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 2, 2, 1, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 1, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 2, 0, 1, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 1] pubkeycol1087 = [2, 0, 0, 2, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 2, 1, 2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 2, 2, 2, 0, 0, 2, 1, 2, 0, 0, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 0, 0, 0, 2, 2, 2, 1, 0, 0, 1, 2, 1, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 2, 2, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 1, 2, 0, 2, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 1, 0, 2, 1, 0, 2, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 0, 2, 0, 2, 2, 2, 1, 2, 0, 2, 0, 0, 2, 0, 1, 2, 0, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 1, 1, 2] pubkeycol1088 = [2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 2, 0, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 2, 1, 2, 0, 2, 0, 0, 1, 0, 0, 1, 0, 2, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 2, 2, 2, 2, 2, 1, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 1, 0, 2, 1, 0, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 2, 2, 2, 1, 2, 0, 0, 2, 0, 1, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 2, 0, 1, 2, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 0, 0, 2, 2] pubkeycol1089 = [2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 2, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 0, 1, 1, 1, 2, 1, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 2, 2, 1, 2, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 2, 1, 1, 0, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 0, 1, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 2, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 2, 1, 2, 1, 2, 0, 2, 2, 1, 2, 0, 2, 2] pubkeycol1090 = [0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 0, 2, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 1, 0, 2, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 2, 1, 1, 2, 1, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 0, 0, 2, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 0, 0, 1, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 0, 1, 2, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 1, 1, 0, 1, 0, 2, 2, 2, 2, 0, 0, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 2, 1, 2, 2, 1, 0, 2] pubkeycol1091 = [2, 1, 1, 2, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 2, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 2, 0, 0, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 1, 1, 2, 0, 0, 1, 1, 2, 0, 2, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 1, 0, 2, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 2, 2, 2, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 0, 2, 2, 0, 2, 2, 2, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 2, 2, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 0, 0, 2, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 2, 2, 1, 2, 2, 2, 2, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 0, 2, 1, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 2, 1, 2, 1, 1, 0, 1, 0, 1, 1, 1, 2, 1, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 1, 2, 1, 0, 1, 1, 1, 0] pubkeycol1092 = [1, 0, 2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 2, 0, 2, 1, 0, 2, 2, 0, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 2, 1, 2, 0, 2, 1, 2, 0, 1, 2, 0, 2, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 2, 0, 2, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 2, 2, 0, 2, 1, 2, 2, 0, 0, 0, 2, 0, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 2, 2, 1, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 0, 2, 2, 2, 0, 1, 0, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 0, 2, 1, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 0, 1, 1, 0, 2, 1, 0, 2, 0, 0, 2, 2, 1, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 1, 0, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 0, 0, 0, 2, 1] pubkeycol1093 = [0, 0, 2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 1, 2, 1, 2, 0, 1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 0, 2, 2, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 2, 1, 2, 0, 1, 1, 1, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 2, 1, 1, 1, 2, 2, 1, 1, 0, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 2, 0, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 1, 1, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 2, 2, 2, 2, 0, 0, 0, 0, 1, 2, 1, 1, 0, 0, 1, 2, 2, 2, 1, 1, 1, 0, 1, 2, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 0, 0, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 2, 1, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 1, 1, 2, 0, 0, 0, 1, 2, 0, 2, 1, 1, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 1, 1, 2, 0, 2, 0, 1, 2, 0, 0, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 1, 1, 1, 1, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol1094 = [1, 1, 2, 0, 0, 0, 2, 2, 1, 0, 1, 1, 2, 0, 1, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 0, 1, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 1, 0, 0, 1, 2, 1, 2, 0, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 0, 1, 1, 1, 2, 0, 2, 1, 2, 1, 2, 0, 1, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 0, 1, 2, 2, 1, 1, 2, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 0, 0, 2, 1, 2, 2, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 2, 1, 1, 1, 0, 0, 1, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 2, 2, 2, 0, 0, 2, 2, 2, 0, 0, 2, 1, 0, 0, 1, 1, 1, 1, 1, 2, 2, 0, 0, 1, 1, 1, 0, 0, 2, 2, 2, 1, 0, 2, 1, 2, 1, 1, 2, 0, 1, 0, 2, 0, 0, 1, 0, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 1, 1, 0, 2, 2, 0, 2, 0, 1, 0, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 0, 0, 1, 1, 0, 2] pubkeycol1095 = [0, 2, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 1, 2, 2, 1, 0, 0, 1, 1, 1, 0, 1, 2, 2, 2, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 2, 1, 1, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 0, 2, 0, 2, 0, 2, 1, 1, 0, 0, 0, 1, 2, 1, 0, 0, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 0, 1, 2, 2, 1, 1, 2, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 0, 2, 0, 1, 0, 2, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 2, 0, 1, 0, 0, 1, 2, 0, 1, 1, 0, 2, 1, 2, 2, 0, 0, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0, 2, 2, 2, 2, 0, 0, 1, 1, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 1, 0, 2, 2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 0, 2, 1, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 1, 0, 2, 1, 1, 2, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 0, 2] pubkeycol1096 = [2, 2, 1, 1, 0, 0, 0, 2, 0, 2, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 1, 2, 2, 1, 2, 2, 1, 1, 2, 0, 0, 2, 1, 1, 2, 0, 1, 2, 2, 0, 2, 2, 2, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 1, 1, 0, 0, 2, 2, 2, 0, 2, 0, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 1, 0, 2, 2, 0, 2, 0, 1, 2, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 1, 1, 1, 2, 2, 0, 2, 1, 0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 2, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 2, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 1, 2, 2, 1, 2, 1, 1, 1, 0, 2, 2, 2, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 2, 1, 1, 2, 1, 2, 0, 1, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0] pubkeycol1097 = [2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 0, 1, 1, 1, 2, 0, 1, 2, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 2, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 2, 2, 1, 1, 0, 1, 1, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 1, 2, 2, 2, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 0, 2, 1, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 0, 1, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 0, 0, 2, 2, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 0, 1, 0, 2, 1, 2, 2, 0, 1, 1, 0, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 2, 2, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 1, 1, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 2, 0, 1, 1, 1, 2, 1, 0, 1, 2, 2] pubkeycol1098 = [0, 0, 2, 2, 2, 0, 2, 2, 1, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 0, 0, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 2, 0, 0, 1, 2, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 2, 1, 2, 2, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 1, 0, 2, 2, 2, 1, 0, 0, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 0, 2, 1, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 0, 2, 2, 1, 1, 2, 0, 0, 0, 2, 0, 1, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 2] pubkeycol1099 = [1, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 0, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 0, 2, 0, 2, 1, 1, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 2, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 1, 1, 2, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 2, 0, 0, 2, 2, 2, 2, 2, 1, 2, 2, 2, 0, 0, 2, 1, 0, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 2, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 0, 1, 0, 0, 0, 1, 1, 0, 1, 1, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 2, 0, 0, 0, 1, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 2, 0, 0, 0, 2, 0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 2, 1, 1, 0, 0, 2, 1, 0, 1, 0] pubkeycol1100 = [1, 1, 0, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 2, 0, 2, 2, 2, 0, 0, 2, 1, 1, 1, 1, 2, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 2, 0, 1, 0, 1, 1, 0, 1, 2, 2, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 2, 0, 0, 0, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 2, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 2, 2, 2, 0, 1, 1, 2, 2, 1, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 2, 1, 0, 2, 1, 2, 1, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 1, 0, 2, 2, 1, 0, 2, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 2, 2, 0, 0, 2, 0, 0, 1, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 1, 0, 1, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 1, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 0, 1] pubkeycol1101 = [1, 1, 1, 0, 0, 2, 2, 2, 2, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 2, 1, 0, 1, 1, 1, 2, 2, 1, 2, 0, 0, 1, 1, 2, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 1, 2, 2, 0, 0, 1, 1, 2, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 0, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 2, 2, 0, 1, 2, 2, 2, 0, 0, 0, 1, 1, 2, 0, 2, 1, 2, 1, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 2, 1, 0, 0, 1, 2, 0, 1, 2, 2, 1, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 1, 1, 0, 0, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 2, 1, 2, 2, 2, 1, 2, 2, 1, 0, 2, 0, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 1, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 2, 1, 0, 1, 2, 0, 2, 2, 0, 1, 1, 1, 0, 2, 1, 2, 2, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 0, 1] pubkeycol1102 = [0, 2, 1, 0, 2, 0, 2, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2, 1, 1, 0, 2, 1, 1, 1, 0, 1, 2, 2, 2, 2, 0, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 1, 1, 1, 0, 2, 1, 0, 0, 0, 2, 1, 2, 1, 1, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 0, 0, 1, 0, 1, 0, 1, 0, 2, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 0, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 2, 0, 2, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 0, 2, 1, 1, 1, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 1, 1, 2, 1, 2, 1, 0, 2, 0, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 0, 2, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 2, 2, 0, 0, 2, 2, 2, 2, 0, 2, 1, 0, 1, 2, 2, 0, 1] pubkeycol1103 = [2, 1, 0, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 1, 0, 0, 0, 1, 1, 2, 1, 2, 2, 0, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 2, 2, 2, 1, 2, 2, 0, 0, 1, 2, 2, 2, 1, 2, 1, 2, 0, 2, 1, 2, 2, 0, 1, 1, 2, 0, 2, 2, 1, 1, 2, 0, 2, 0, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 2, 0, 2, 1, 2, 1, 0, 0, 1, 0, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 0, 2, 2, 0, 2, 2, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 1, 2, 0, 1, 2, 1, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1, 2, 2, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 0, 2, 0] pubkeycol1104 = [0, 0, 1, 2, 0, 1, 2, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 0, 2, 1, 2, 0, 0, 2, 1, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 2, 1, 2, 2, 0, 0, 2, 2, 2, 2, 0, 0, 2, 2, 0, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 1, 0, 1, 0, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 2, 1, 1, 0, 2, 0, 1, 0, 2, 1, 1, 1, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 1, 2, 2, 1, 2, 1, 0, 2, 2, 0, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 0, 2, 0, 0, 1, 2, 2, 0, 1, 2, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 2, 0, 0, 1, 1, 0, 1, 0, 1, 2, 0, 2, 1] pubkeycol1105 = [1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 1, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 1, 1, 2, 2, 1, 0, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 2, 2, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 1, 2, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 1, 2, 0, 0, 1, 1, 1, 0, 0, 0, 2, 0, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 2, 1, 1, 2, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2, 0, 1, 0, 0, 2, 1, 2, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 0, 1, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 0, 0, 1, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 2, 0, 1, 1, 0, 0, 1, 2, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0] pubkeycol1106 = [0, 2, 1, 2, 0, 0, 2, 2, 1, 1, 1, 1, 0, 1, 1, 0, 0, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 1, 1, 1, 0, 2, 2, 0, 1, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 2, 1, 1, 0, 1, 2, 0, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 2, 0, 2, 1, 0, 2, 1, 0, 0, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 2, 2, 2, 1, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 0, 2, 2, 2, 2, 1, 0, 2, 2, 1, 0, 2, 1, 2, 2, 2, 2, 0, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 1, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 1, 2, 0, 0, 1, 1, 1, 2, 2, 0, 0, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 2, 2, 0, 0, 1, 2, 2, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 0, 0, 1, 2, 0, 2, 2, 2, 0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 0, 1, 2, 2, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 1, 1, 2, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 2, 1, 1, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 2, 1, 2, 0, 1, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 0, 1, 2, 2, 2, 0, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 1, 0, 1, 1] pubkeycol1107 = [0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 2, 0, 1, 2, 0, 2, 2, 1, 2, 2, 1, 1, 1, 0, 0, 2, 0, 0, 0, 2, 1, 0, 0, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 2, 1, 0, 2, 1, 2, 1, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 1, 0, 1, 2, 0, 2, 1, 1, 1, 0, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 2, 1, 2, 2, 2, 1, 0, 2, 1, 1, 1, 2, 0, 0, 1, 1, 2, 2, 1, 2, 1, 0, 1, 2, 0, 2, 2, 1, 0, 1, 1, 1, 2, 2, 2, 1, 1, 1, 1, 1, 0, 1, 0, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 2, 1, 1, 1, 0, 1, 0, 0, 2, 1, 0, 2, 1, 1, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 2, 0, 0, 2, 0, 1, 2, 1, 2, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 0, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 1, 0, 1, 2, 2, 2, 1, 2, 2, 2, 2, 0, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 1, 2, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 2, 1, 0, 2, 1, 0, 0, 2, 0, 1, 2, 0, 2, 1, 0, 0, 0, 2, 2, 0, 2, 1, 0, 0, 1, 0, 0, 2, 2, 1, 1, 2, 1, 1, 1, 2, 2, 2] pubkeycol1108 = [1, 2, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 1, 1, 1, 2, 2, 1, 2, 1, 2, 2, 0, 1, 0, 2, 2, 1, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 0, 2, 1, 2, 2, 0, 1, 2, 1, 2, 1, 2, 0, 0, 2, 1, 1, 2, 2, 0, 2, 2, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 1, 0, 1, 2, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 2, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 0, 0, 1, 2, 0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 2, 1, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 0, 2, 0, 2, 0, 1, 1, 1, 1, 2, 2, 2, 0, 1, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 2, 1, 1, 0, 0, 0, 0, 2, 1, 2, 1, 2, 0, 0, 2, 2, 0, 2, 2, 2, 1, 1, 1, 2, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2, 2, 0, 2, 2, 2, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 1, 0, 1, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 2, 2, 2, 2, 2, 0, 2, 1, 0, 2, 0, 0, 0, 2, 0, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 0, 2, 2, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1] pubkeycol1109 = [0, 1, 1, 1, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 0, 1, 0, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 2, 0, 1, 1, 1, 0, 0, 1, 0, 2, 1, 2, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 2, 0, 1, 2, 1, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 1, 0, 1, 1, 2, 1, 0, 1, 1, 2, 0, 0, 2, 2, 1, 2, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 1, 1, 0, 2, 0, 1, 0, 1, 1, 2, 0, 2, 1, 0, 2, 2, 1, 0, 1, 2, 0, 2, 2, 0, 0, 2, 0, 2, 0, 1, 2, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 2, 0, 2, 0, 2, 1, 1, 2, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 2, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 2, 0, 1, 1, 2, 0, 2, 1, 0, 1, 1, 2, 2, 1, 2, 1, 1, 2, 1, 0, 1, 0, 2, 1, 1, 1, 0, 2, 0, 1, 1, 0, 2, 2, 0, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 1, 2, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 2, 1, 2, 0, 0, 1, 1, 2, 1, 1, 1, 0, 1, 2, 1, 0, 0, 0, 0, 2, 1, 0, 2, 2, 0, 1, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 1, 0, 1, 1, 2, 2, 2, 2, 0, 1, 1, 2, 1, 2, 1, 2, 2, 1, 0] pubkeycol1110 = [1, 2, 0, 0, 0, 1, 1, 2, 0, 2, 2, 0, 1, 0, 1, 2, 2, 1, 2, 1, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 2, 1, 2, 1, 2, 0, 0, 0, 0, 2, 1, 2, 1, 0, 2, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 1, 1, 0, 2, 0, 1, 0, 0, 2, 0, 0, 2, 2, 2, 0, 2, 0, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 1, 1, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 0, 1, 1, 0, 2, 0, 1, 2, 0, 2, 2, 2, 2, 1, 0, 1, 2, 0, 1, 1, 0, 2, 0, 1, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 1, 0, 1, 2, 1, 1, 2, 1, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 2, 0, 0, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 0, 1, 0, 0, 1, 0, 2, 0, 2, 0, 2, 1, 2, 0, 2, 1, 2, 0, 2, 2, 1, 2, 0, 0, 1, 2, 2, 0, 2, 1, 2, 1, 2, 2, 0, 2, 2, 0, 2, 1, 2, 1, 2, 2, 2, 0, 0, 0, 2, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0] pubkeycol1111 = [1, 1, 1, 2, 1, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 2, 1, 0, 1, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 2, 0, 2, 2, 2, 2, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 1, 2, 0, 1, 1, 1, 1, 2, 0, 0, 1, 0, 2, 0, 1, 1, 0, 0, 1, 1, 2, 0, 1, 1, 1, 2, 1, 2, 2, 2, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 1, 1, 1, 1, 2, 0, 2, 1, 2, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 0, 2, 0, 1, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 2, 2, 1, 0, 1, 2, 2, 2, 0, 2, 2, 1, 2, 2, 0, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 1, 2, 0, 1, 2, 1, 0, 2, 1, 2, 0, 1, 2, 2, 1, 1, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 1, 1, 2, 2, 0, 1, 2, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0] pubkeycol1112 = [0, 0, 2, 1, 0, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 1, 2, 2, 1, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 1, 2, 2, 0, 1, 0, 1, 2, 0, 0, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 0, 0, 2, 2, 1, 0, 2, 2, 2, 0, 0, 2, 2, 1, 2, 1, 1, 0, 1, 2, 1, 1, 1, 0, 1, 0, 1, 1, 0, 2, 2, 2, 1, 1, 2, 0, 2, 1, 0, 1, 2, 2, 2, 2, 2, 2, 2, 1, 2, 0, 2, 2, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 2, 0, 2, 1, 0, 2, 0, 1, 2, 1, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 2, 1, 0, 0, 0, 0, 1, 2, 0, 2, 1, 1, 0, 2, 0, 0, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 2, 1, 2, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 2, 2, 1, 1, 1, 1, 2, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 1, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 1, 2, 1, 2, 0, 2, 0, 2, 0, 2, 2, 2, 1, 0, 0, 1, 2, 2, 2, 0, 2, 2, 0, 2, 1, 1, 1, 2, 1, 1, 2, 2, 0, 1, 0, 0, 2, 0, 2, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 1, 2, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] pubkeycol1113 = [2, 1, 0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 1, 2, 1, 1, 0, 1, 1, 2, 0, 2, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 1, 2, 0, 2, 1, 1, 2, 1, 2, 1, 2, 2, 1, 1, 1, 0, 0, 1, 1, 0, 1, 2, 2, 0, 0, 2, 1, 0, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 2, 1, 2, 0, 0, 1, 2, 1, 0, 2, 1, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 2, 1, 1, 0, 0, 0, 0, 2, 2, 2, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 0, 2, 1, 1, 2, 0, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 1, 1, 2, 0, 2, 2, 2, 0, 2, 2, 1, 0, 1, 1, 1, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 1, 2, 2, 0, 2, 0, 0, 0, 2, 0, 2, 2, 1, 2, 1, 2, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 2, 0, 1] pubkeycol1114 = [1, 1, 2, 1, 2, 0, 1, 2, 1, 2, 2, 2, 2, 2, 1, 2, 0, 0, 2, 1, 1, 0, 2, 2, 2, 0, 1, 0, 2, 0, 2, 1, 1, 2, 1, 1, 2, 0, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 0, 2, 1, 2, 2, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 2, 0, 2, 0, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 1, 0, 2, 1, 0, 1, 1, 0, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 0, 0, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 1, 2, 1, 2, 2, 1, 1, 2, 1, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 0, 1, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 0, 2, 0, 2, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 2, 0, 2, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 1, 2, 0, 2, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 2, 1, 2, 1, 2, 0, 1, 0, 0, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 1, 2, 2, 1, 2, 1, 2, 2, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 1, 1, 0, 1, 1, 2, 2, 0, 2, 1, 0, 0, 2, 2, 0, 1, 1, 2, 1, 1, 0, 1, 2, 0, 1, 1, 1, 2, 0, 2, 1, 2, 2, 1] pubkeycol1115 = [0, 2, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 2, 0, 0, 2, 1, 2, 0, 2, 0, 2, 1, 0, 1, 2, 1, 2, 1, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 1, 1, 2, 1, 0, 2, 1, 0, 1, 1, 1, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 2, 1, 1, 1, 0, 1, 2, 1, 0, 2, 1, 1, 1, 2, 2, 0, 0, 2, 2, 0, 0, 1, 0, 2, 1, 1, 0, 0, 1, 2, 2, 2, 2, 1, 2, 0, 2, 1, 1, 1, 2, 0, 2, 2, 1, 0, 2, 2, 2, 2, 0, 2, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 1, 2, 1, 2, 2, 2, 2, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 1, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 0, 2, 0, 1, 1, 2, 2, 2, 1, 0, 2, 0, 2, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 2, 1, 2, 2, 1, 2, 1, 2, 0, 0, 0, 2, 1, 2, 1, 1, 2, 2, 2, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 0, 2, 0, 0, 2, 2, 0, 1, 1, 2, 2, 0, 2, 2, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 0, 1, 1, 1, 2, 2, 0, 2, 0, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 1, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 2, 0, 1, 1, 1, 1, 2, 0, 2, 2, 0, 0, 2, 1, 1, 2] pubkeycol1116 = [1, 2, 2, 1, 1, 1, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 1, 1, 0, 0, 1, 2, 0, 1, 0, 1, 0, 1, 2, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 0, 0, 2, 0, 2, 2, 2, 1, 0, 1, 1, 1, 1, 0, 1, 1, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 1, 0, 2, 2, 0, 1, 1, 2, 2, 2, 0, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 1, 2, 1, 1, 2, 0, 2, 0, 2, 1, 2, 2, 2, 2, 0, 1, 1, 0, 2, 1, 0, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 0, 1, 0, 0, 0, 1, 0, 1, 0, 2, 1, 0, 1, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2, 2, 1, 2, 0, 0, 0, 0, 1, 1, 0, 2, 2, 0, 1, 0, 1, 2, 0, 2, 2, 0, 0, 0, 1, 0, 1, 2, 1, 2, 1, 2, 2, 1, 1, 0, 2, 0, 1, 2, 1, 1, 1, 1, 1, 0, 2, 2, 1, 2, 0, 0, 2, 2, 2, 1, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 1, 2, 2, 1, 2, 2, 0, 1, 2, 1, 0, 2, 2, 2, 2, 2, 0, 1, 2, 1, 0, 2, 1, 2, 1, 1, 1, 2, 1, 1, 0, 2, 0, 0, 2, 2, 1, 1, 2, 1, 0, 1, 2, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 0] pubkeycol1117 = [2, 2, 0, 2, 0, 2, 1, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 0, 0, 2, 1, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 2, 0, 2, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 2, 0, 2, 2, 0, 1, 1, 2, 2, 2, 1, 2, 1, 1, 1, 0, 1, 1, 2, 1, 0, 1, 1, 0, 1, 1, 1, 1, 2, 2, 2, 2, 1, 2, 2, 2, 2, 2, 0, 1, 2, 1, 1, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 1, 0, 0, 2, 1, 2, 2, 0, 0, 0, 1, 0, 1, 2, 2, 2, 2, 1, 1, 1, 0, 2, 0, 2, 2, 0, 2, 1, 0, 1, 2, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 1, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 2, 0, 0, 2, 0, 2, 0, 0, 1, 2, 0, 0, 2, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 2, 0, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 0, 2, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 2, 0, 0, 0, 2, 2, 2, 2, 2, 0, 2, 2, 2, 0, 0, 0, 1, 1, 1, 1, 2, 2, 0, 1, 0, 0, 0, 2, 0, 2, 2, 0, 0, 2, 2, 2, 2, 1, 1, 1, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 2, 0, 1, 0, 2, 2, 1, 2, 2, 1, 1, 2, 1, 2, 1, 2, 0, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 1, 1, 0, 1, 2, 1, 1] pubkeycol1118 = [1, 0, 1, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 2, 1, 0, 1, 0, 2, 2, 2, 0, 0, 0, 0, 0, 1, 0, 2, 0, 1, 2, 0, 2, 1, 1, 1, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 0, 0, 1, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 2, 0, 1, 0, 1, 2, 2, 2, 2, 2, 2, 1, 1, 1, 0, 1, 2, 1, 2, 2, 0, 0, 0, 1, 2, 0, 2, 0, 1, 0, 0, 1, 1, 2, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 1, 1, 2, 1, 2, 0, 1, 0, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 2, 1, 2, 2, 0, 1, 0, 0, 2, 1, 2, 2, 1, 0, 2, 2, 1, 1, 1, 1, 0, 1, 2, 2, 2, 1, 1, 2, 0, 0, 2, 1, 0, 2, 1, 1, 2, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 0, 2, 1, 2, 2, 1, 1, 0, 1, 1, 2, 2, 2, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 2, 1, 0, 0, 2, 1, 0, 1, 1, 2, 1, 1, 0, 2, 1, 2, 1, 0, 0, 0, 2, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 0, 1, 1, 1, 2, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 2, 2, 2, 1, 0, 2, 0, 0, 2, 0, 2, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 2, 2, 1, 0, 2, 0, 2, 2, 0, 2, 0, 1, 2, 1, 1, 2, 2, 0, 2, 0, 0, 1] pubkeycol1119 = [2, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 2, 2, 1, 2, 1, 0, 1, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2, 1, 1, 2, 2, 2, 2, 1, 2, 2, 1, 0, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 1, 2, 2, 1, 2, 2, 1, 1, 1, 0, 2, 1, 2, 0, 0, 1, 2, 0, 0, 1, 0, 0, 0, 1, 2, 1, 2, 2, 2, 1, 1, 1, 0, 2, 2, 2, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0, 0, 0, 2, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 0, 1, 0, 2, 2, 0, 0, 2, 2, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 2, 2, 1, 1, 0, 2, 1, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 0, 1, 0, 1, 1, 2, 2, 0, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 1, 1, 1, 2, 1, 0, 1, 0, 0, 1, 2, 1, 1, 2, 2, 2, 2, 2, 2, 0, 0, 1, 1, 0, 2, 1, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 0, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 1, 2, 1, 2, 0, 1, 1, 2, 1, 2, 1, 1, 2, 0, 1, 2, 0, 2, 1, 0, 0, 2, 2, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0, 1, 1, 1, 2, 2, 2, 0, 1, 1, 1, 2, 0, 1, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 1, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 1, 2, 0, 0, 2, 1, 1, 0, 0, 2, 2, 0, 0, 1, 1, 1, 2, 2, 2, 1] pubkeycol1120 = [1, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 2, 0, 2, 2, 1, 2, 2, 0, 2, 0, 1, 1, 2, 1, 0, 2, 1, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 0, 2, 2, 1, 1, 0, 2, 2, 2, 0, 1, 2, 2, 0, 1, 0, 1, 2, 1, 0, 2, 0, 1, 1, 0, 0, 1, 2, 0, 2, 0, 2, 2, 2, 2, 2, 1, 1, 1, 2, 2, 2, 0, 2, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 2, 0, 2, 1, 1, 0, 2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 2, 2, 0, 2, 2, 1, 0, 2, 2, 1, 1, 0, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 0, 1, 2, 0, 1, 0, 0, 2, 0, 1, 2, 0, 1, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 2, 0, 1, 0, 0, 2, 2, 2, 1, 0, 2, 0, 0, 0, 2, 1, 2, 0, 1, 1, 2, 2, 1, 1, 0, 0, 2, 2, 0, 1, 0, 0, 2, 0, 1, 2, 2, 0, 2, 2, 0, 2, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 2, 1, 1, 0, 2, 2, 2, 1, 2, 2, 2, 1, 0, 2, 2, 1, 1, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 2, 0, 2, 1, 1, 2, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 2, 2, 1, 0, 0, 1] pubkeycol1121 = [0, 2, 2, 1, 2, 0, 2, 1, 1, 2, 2, 2, 0, 2, 1, 1, 2, 2, 2, 0, 0, 2, 0, 0, 0, 1, 2, 1, 1, 0, 1, 2, 2, 1, 1, 0, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 0, 0, 2, 1, 1, 1, 1, 2, 1, 0, 0, 0, 2, 0, 2, 2, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 1, 1, 0, 2, 2, 2, 0, 2, 2, 1, 2, 1, 1, 2, 0, 1, 0, 1, 2, 1, 0, 1, 0, 1, 2, 1, 2, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 2, 0, 2, 0, 2, 1, 2, 1, 2, 2, 0, 1, 2, 0, 0, 2, 0, 1, 0, 0, 2, 0, 2, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 2, 1, 1, 2, 1, 0, 0, 2, 1, 2, 1, 0, 2, 1, 0, 0, 1, 0, 2, 1, 2, 0, 1, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 2, 1, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 2, 2, 2, 0, 2, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 0, 1, 2, 0, 2, 0, 2, 2, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1, 1, 2, 0, 2, 1, 2, 2, 0, 1, 2, 2, 0, 1, 1, 2, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 2, 1, 2, 0, 0, 2, 1, 0, 1, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 1, 2, 0, 1, 0, 2, 1, 1, 1, 1, 1, 2, 0, 2, 1, 0, 1, 1, 1, 2, 0, 2, 1, 0, 1, 2, 1, 0, 2, 2, 2, 0, 2] pubkeycol1122 = [0, 1, 0, 2, 0, 2, 2, 1, 1, 0, 1, 0, 2, 0, 0, 2, 2, 1, 2, 2, 0, 2, 2, 1, 1, 2, 0, 0, 2, 0, 0, 2, 2, 2, 2, 0, 1, 0, 2, 2, 1, 1, 0, 1, 1, 2, 0, 2, 2, 0, 1, 1, 2, 0, 0, 1, 0, 2, 1, 1, 1, 1, 2, 0, 1, 2, 1, 1, 1, 2, 1, 1, 1, 0, 0, 0, 0, 2, 1, 1, 0, 2, 0, 1, 0, 1, 2, 2, 2, 0, 1, 2, 0, 1, 2, 0, 1, 0, 2, 1, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 1, 0, 2, 1, 2, 2, 1, 1, 1, 2, 1, 2, 1, 1, 1, 2, 2, 2, 2, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 0, 1, 0, 0, 1, 0, 1, 1, 1, 0, 2, 1, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 2, 1, 1, 0, 0, 0, 2, 0, 0, 0, 2, 2, 1, 0, 2, 2, 2, 2, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 1, 2, 0, 1, 1, 0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 0, 2, 1, 0, 2, 1, 1, 1, 2, 0, 1, 1, 2, 0, 2, 2, 2, 1, 0, 1, 1, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 2, 0, 2, 2, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 2, 2, 2, 0, 0, 1, 2, 1, 1, 0, 1, 1, 0, 1, 2, 2, 0, 1, 1, 1, 2] pubkeycol1123 = [1, 2, 0, 1, 2, 2, 1, 0, 2, 2, 1, 1, 0, 2, 1, 2, 1, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 0, 2, 1, 1, 1, 0, 0, 2, 0, 1, 0, 0, 1, 0, 1, 2, 2, 0, 1, 0, 2, 0, 2, 2, 2, 1, 0, 2, 0, 1, 1, 1, 0, 1, 1, 2, 2, 1, 0, 0, 2, 1, 0, 2, 2, 1, 2, 1, 1, 2, 1, 1, 2, 1, 2, 2, 2, 1, 1, 2, 1, 0, 2, 1, 1, 2, 0, 0, 1, 1, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 1, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 1, 2, 2, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0, 0, 1, 2, 1, 2, 2, 2, 0, 1, 2, 1, 0, 2, 2, 1, 1, 0, 0, 2, 0, 2, 0, 2, 1, 2, 2, 0, 0, 2, 1, 1, 0, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 1, 2, 1, 0, 0, 2, 0, 0, 0, 1, 1, 2, 0, 2, 0, 2, 1, 2, 0, 1, 2, 0, 1, 1, 2, 2, 0, 1, 2, 0, 2, 2, 0, 2, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 2, 2, 2, 1, 2, 1, 0, 2, 2, 1, 1, 2, 1, 0, 0, 2, 1, 1, 2, 2, 0, 1, 1, 0, 1, 1, 1, 0, 2, 0, 0, 1, 0, 0, 2, 0, 2, 2, 1, 1, 2, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 2, 1, 1, 0, 2, 0, 2, 2, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0]